13 stages, 4 taps:  (33 sets)

[13, 12, 11, 8]
[13, 12, 11, 2]
[13, 12, 11, 1]
[13, 12, 10, 9]
[13, 12, 10, 6]
[13, 12, 10, 3]
[13, 12, 9, 7]
[13, 12, 9, 3]
[13, 12, 8, 2]
[13, 12, 7, 6]
[13, 12, 7, 5]
[13, 12, 7, 4]
[13, 12, 6, 3]
[13, 12, 4, 3]
[13, 12, 4, 2]
[13, 11, 10, 6]
[13, 11, 10, 5]
[13, 11, 9, 8]
[13, 11, 9, 5]
[13, 11, 8, 7]
[13, 11, 8, 6]
[13, 11, 8, 4]
[13, 11, 8, 3]
[13, 11, 7, 2]
[13, 11, 5, 4]
[13, 11, 4, 3]
[13, 10, 9, 4]
[13, 10, 8, 5]
[13, 10, 8, 3]
[13, 10, 7, 6]
[13, 10, 6, 5]
[13, 10, 6, 4]
[13, 8, 7, 6]


13 stages, 6 taps:  (118 sets)

[13, 12, 11, 10, 9, 6]
[13, 12, 11, 10, 9, 3]
[13, 12, 11, 10, 9, 2]
[13, 12, 11, 10, 8, 7]
[13, 12, 11, 10, 8, 6]
[13, 12, 11, 10, 8, 5]
[13, 12, 11, 10, 8, 1]
[13, 12, 11, 10, 7, 1]
[13, 12, 11, 10, 5, 2]
[13, 12, 11, 10, 5, 1]
[13, 12, 11, 10, 4, 2]
[13, 12, 11, 10, 4, 1]
[13, 12, 11, 10, 3, 2]
[13, 12, 11, 9, 8, 4]
[13, 12, 11, 9, 7, 3]
[13, 12, 11, 9, 6, 5]
[13, 12, 11, 9, 6, 4]
[13, 12, 11, 9, 5, 3]
[13, 12, 11, 9, 2, 1]
[13, 12, 11, 8, 7, 5]
[13, 12, 11, 8, 7, 2]
[13, 12, 11, 8, 7, 1]
[13, 12, 11, 8, 5, 4]
[13, 12, 11, 8, 4, 1]
[13, 12, 11, 8, 3, 1]
[13, 12, 11, 8, 2, 1]
[13, 12, 11, 7, 6, 5]
[13, 12, 11, 7, 6, 3]
[13, 12, 11, 7, 5, 4]
[13, 12, 11, 7, 5, 1]
[13, 12, 11, 6, 5, 4]
[13, 12, 11, 6, 5, 3]
[13, 12, 11, 6, 4, 3]
[13, 12, 11, 6, 3, 1]
[13, 12, 11, 5, 4, 1]
[13, 12, 11, 4, 3, 2]
[13, 12, 10, 9, 8, 6]
[13, 12, 10, 9, 8, 5]
[13, 12, 10, 9, 8, 2]
[13, 12, 10, 9, 7, 4]
[13, 12, 10, 9, 6, 4]
[13, 12, 10, 9, 6, 3]
[13, 12, 10, 9, 5, 2]
[13, 12, 10, 9, 3, 1]
[13, 12, 10, 8, 7, 5]
[13, 12, 10, 8, 6, 2]
[13, 12, 10, 8, 5, 4]
[13, 12, 10, 8, 5, 2]
[13, 12, 10, 8, 3, 2]
[13, 12, 10, 7, 6, 3]
[13, 12, 10, 7, 5, 2]
[13, 12, 10, 7, 4, 3]
[13, 12, 10, 7, 4, 1]
[13, 12, 10, 6, 5, 3]
[13, 12, 10, 6, 3, 2]
[13, 12, 9, 8, 7, 6]
[13, 12, 9, 8, 6, 4]
[13, 12, 9, 8, 4, 2]
[13, 12, 9, 7, 6, 1]
[13, 12, 9, 7, 5, 3]
[13, 12, 9, 7, 4, 3]
[13, 12, 9, 7, 4, 1]
[13, 12, 9, 6, 5, 2]
[13, 12, 9, 6, 4, 3]
[13, 12, 9, 5, 4, 3]
[13, 12, 9, 4, 3, 2]
[13, 12, 8, 7, 6, 5]
[13, 12, 8, 7, 6, 3]
[13, 12, 8, 7, 6, 2]
[13, 12, 8, 7, 5, 3]
[13, 12, 8, 7, 5, 1]
[13, 12, 8, 6, 5, 4]
[13, 12, 8, 6, 3, 2]
[13, 12, 8, 5, 4, 2]
[13, 12, 7, 6, 5, 2]
[13, 12, 7, 6, 4, 3]
[13, 12, 7, 5, 4, 2]
[13, 12, 6, 5, 4, 3]
[13, 11, 10, 9, 8, 6]
[13, 11, 10, 9, 8, 4]
[13, 11, 10, 9, 8, 3]
[13, 11, 10, 9, 8, 2]
[13, 11, 10, 9, 7, 4]
[13, 11, 10, 9, 6, 5]
[13, 11, 10, 9, 6, 3]
[13, 11, 10, 9, 5, 3]
[13, 11, 10, 9, 4, 2]
[13, 11, 10, 8, 7, 3]
[13, 11, 10, 8, 6, 2]
[13, 11, 10, 8, 5, 3]
[13, 11, 10, 8, 4, 3]
[13, 11, 10, 8, 3, 2]
[13, 11, 10, 7, 6, 5]
[13, 11, 10, 7, 6, 4]
[13, 11, 10, 7, 6, 2]
[13, 11, 10, 7, 4, 2]
[13, 11, 10, 7, 3, 2]
[13, 11, 10, 6, 5, 4]
[13, 11, 9, 8, 7, 2]
[13, 11, 9, 8, 6, 3]
[13, 11, 9, 8, 5, 2]
[13, 11, 9, 8, 4, 2]
[13, 11, 9, 7, 6, 2]
[13, 11, 9, 7, 5, 4]
[13, 11, 9, 7, 5, 3]
[13, 11, 9, 7, 5, 2]
[13, 11, 9, 6, 5, 4]
[13, 11, 9, 6, 5, 3]
[13, 11, 7, 6, 5, 3]
[13, 10, 9, 8, 7, 5]
[13, 10, 9, 8, 7, 4]
[13, 10, 9, 8, 5, 3]
[13, 10, 9, 7, 5, 4]
[13, 10, 9, 7, 4, 3]
[13, 10, 9, 6, 5, 3]
[13, 10, 8, 6, 5, 4]
[13, 9, 8, 7, 6, 5]
[13, 9, 8, 7, 5, 4]


13 stages, 8 taps:  (132 sets)

[13, 12, 11, 10, 9, 8, 7, 4]
[13, 12, 11, 10, 9, 8, 7, 3]
[13, 12, 11, 10, 9, 8, 7, 1]
[13, 12, 11, 10, 9, 8, 6, 5]
[13, 12, 11, 10, 9, 8, 6, 4]
[13, 12, 11, 10, 9, 8, 6, 3]
[13, 12, 11, 10, 9, 8, 6, 2]
[13, 12, 11, 10, 9, 8, 6, 1]
[13, 12, 11, 10, 9, 8, 5, 2]
[13, 12, 11, 10, 9, 8, 4, 3]
[13, 12, 11, 10, 9, 8, 3, 2]
[13, 12, 11, 10, 9, 7, 6, 5]
[13, 12, 11, 10, 9, 7, 6, 2]
[13, 12, 11, 10, 9, 7, 5, 1]
[13, 12, 11, 10, 9, 7, 3, 1]
[13, 12, 11, 10, 9, 6, 5, 3]
[13, 12, 11, 10, 9, 6, 5, 2]
[13, 12, 11, 10, 9, 6, 4, 1]
[13, 12, 11, 10, 9, 5, 3, 1]
[13, 12, 11, 10, 9, 4, 3, 1]
[13, 12, 11, 10, 9, 3, 2, 1]
[13, 12, 11, 10, 8, 7, 6, 4]
[13, 12, 11, 10, 8, 7, 6, 1]
[13, 12, 11, 10, 8, 7, 5, 4]
[13, 12, 11, 10, 8, 7, 4, 2]
[13, 12, 11, 10, 8, 6, 5, 3]
[13, 12, 11, 10, 8, 6, 5, 2]
[13, 12, 11, 10, 8, 6, 3, 2]
[13, 12, 11, 10, 8, 5, 4, 2]
[13, 12, 11, 10, 8, 5, 4, 1]
[13, 12, 11, 10, 8, 5, 3, 2]
[13, 12, 11, 10, 8, 4, 3, 1]
[13, 12, 11, 10, 8, 4, 2, 1]
[13, 12, 11, 10, 7, 6, 5, 3]
[13, 12, 11, 10, 7, 6, 2, 1]
[13, 12, 11, 10, 7, 5, 4, 3]
[13, 12, 11, 10, 7, 5, 3, 1]
[13, 12, 11, 10, 7, 5, 2, 1]
[13, 12, 11, 10, 7, 4, 3, 2]
[13, 12, 11, 10, 7, 3, 2, 1]
[13, 12, 11, 10, 6, 5, 3, 2]
[13, 12, 11, 10, 6, 4, 3, 2]
[13, 12, 11, 10, 5, 4, 3, 1]
[13, 12, 11, 9, 8, 7, 6, 4]
[13, 12, 11, 9, 8, 7, 5, 3]
[13, 12, 11, 9, 8, 7, 5, 2]
[13, 12, 11, 9, 8, 7, 4, 3]
[13, 12, 11, 9, 8, 7, 3, 1]
[13, 12, 11, 9, 8, 6, 5, 4]
[13, 12, 11, 9, 8, 6, 5, 2]
[13, 12, 11, 9, 8, 6, 5, 1]
[13, 12, 11, 9, 8, 6, 4, 3]
[13, 12, 11, 9, 8, 6, 4, 1]
[13, 12, 11, 9, 8, 5, 4, 2]
[13, 12, 11, 9, 8, 5, 3, 2]
[13, 12, 11, 9, 8, 5, 3, 1]
[13, 12, 11, 9, 7, 6, 5, 3]
[13, 12, 11, 9, 7, 6, 5, 2]
[13, 12, 11, 9, 7, 6, 4, 2]
[13, 12, 11, 9, 7, 6, 4, 1]
[13, 12, 11, 9, 7, 6, 3, 2]
[13, 12, 11, 9, 7, 5, 4, 3]
[13, 12, 11, 9, 6, 5, 4, 2]
[13, 12, 11, 9, 6, 5, 4, 1]
[13, 12, 11, 9, 6, 5, 2, 1]
[13, 12, 11, 9, 6, 4, 3, 2]
[13, 12, 11, 9, 5, 4, 3, 2]
[13, 12, 11, 8, 7, 6, 4, 1]
[13, 12, 11, 8, 7, 6, 3, 2]
[13, 12, 11, 8, 7, 6, 3, 1]
[13, 12, 11, 8, 7, 5, 3, 2]
[13, 12, 11, 8, 7, 5, 2, 1]
[13, 12, 11, 8, 6, 5, 3, 2]
[13, 12, 11, 7, 6, 5, 4, 3]
[13, 12, 11, 7, 6, 5, 4, 1]
[13, 12, 11, 7, 5, 4, 3, 1]
[13, 12, 10, 9, 8, 7, 6, 5]
[13, 12, 10, 9, 8, 7, 6, 4]
[13, 12, 10, 9, 8, 7, 6, 2]
[13, 12, 10, 9, 8, 7, 5, 1]
[13, 12, 10, 9, 8, 7, 4, 3]
[13, 12, 10, 9, 8, 7, 4, 2]
[13, 12, 10, 9, 8, 7, 3, 1]
[13, 12, 10, 9, 8, 6, 5, 4]
[13, 12, 10, 9, 8, 6, 4, 1]
[13, 12, 10, 9, 8, 5, 4, 3]
[13, 12, 10, 9, 8, 5, 3, 2]
[13, 12, 10, 9, 8, 4, 3, 1]
[13, 12, 10, 9, 7, 6, 5, 1]
[13, 12, 10, 9, 7, 6, 4, 2]
[13, 12, 10, 9, 7, 6, 4, 1]
[13, 12, 10, 9, 7, 6, 3, 1]
[13, 12, 10, 9, 7, 5, 3, 2]
[13, 12, 10, 9, 7, 4, 3, 2]
[13, 12, 10, 9, 7, 4, 3, 1]
[13, 12, 10, 9, 6, 5, 4, 2]
[13, 12, 10, 9, 6, 5, 4, 1]
[13, 12, 10, 8, 7, 6, 5, 3]
[13, 12, 10, 8, 7, 6, 5, 1]
[13, 12, 10, 8, 7, 6, 4, 3]
[13, 12, 10, 8, 7, 6, 4, 2]
[13, 12, 10, 8, 7, 6, 3, 2]
[13, 12, 10, 8, 7, 5, 4, 3]
[13, 12, 10, 8, 7, 4, 3, 2]
[13, 12, 10, 8, 6, 5, 4, 1]
[13, 12, 10, 8, 6, 5, 3, 2]
[13, 12, 10, 8, 6, 4, 3, 2]
[13, 12, 10, 7, 6, 5, 4, 3]
[13, 12, 10, 7, 5, 4, 3, 2]
[13, 12, 9, 8, 7, 6, 5, 2]
[13, 12, 9, 8, 7, 6, 5, 1]
[13, 12, 9, 8, 7, 6, 4, 2]
[13, 12, 9, 8, 7, 5, 4, 3]
[13, 12, 9, 8, 6, 5, 4, 2]
[13, 12, 9, 8, 6, 4, 3, 2]
[13, 12, 8, 7, 6, 5, 3, 2]
[13, 11, 10, 9, 8, 7, 5, 4]
[13, 11, 10, 9, 8, 7, 5, 2]
[13, 11, 10, 9, 8, 7, 4, 2]
[13, 11, 10, 9, 8, 6, 5, 3]
[13, 11, 10, 9, 8, 6, 5, 2]
[13, 11, 10, 9, 8, 6, 4, 3]
[13, 11, 10, 9, 8, 6, 3, 2]
[13, 11, 10, 9, 7, 5, 4, 3]
[13, 11, 10, 9, 7, 4, 3, 2]
[13, 11, 10, 8, 7, 6, 5, 4]
[13, 11, 10, 8, 7, 5, 4, 2]
[13, 11, 10, 8, 6, 5, 4, 2]
[13, 11, 9, 8, 7, 6, 5, 2]
[13, 11, 9, 8, 7, 6, 4, 3]
[13, 10, 9, 8, 7, 6, 5, 4]
[13, 10, 9, 8, 7, 5, 4, 3]


[13 stages, 10 taps:  (30 sets)

[13, 12, 11, 10, 9, 8, 7, 6, 5, 1]
[13, 12, 11, 10, 9, 8, 7, 5, 4, 2]
[13, 12, 11, 10, 9, 8, 7, 5, 3, 1]
[13, 12, 11, 10, 9, 8, 6, 4, 2, 1]
[13, 12, 11, 10, 9, 8, 5, 4, 3, 2]
[13, 12, 11, 10, 9, 8, 5, 4, 2, 1]
[13, 12, 11, 10, 9, 8, 4, 3, 2, 1]
[13, 12, 11, 10, 9, 7, 6, 5, 4, 3]
[13, 12, 11, 10, 9, 7, 6, 4, 3, 2]
[13, 12, 11, 10, 9, 7, 6, 4, 2, 1]
[13, 12, 11, 10, 9, 7, 5, 4, 3, 2]
[13, 12, 11, 10, 8, 7, 6, 5, 4, 3]
[13, 12, 11, 10, 8, 7, 6, 5, 3, 1]
[13, 12, 11, 10, 8, 7, 6, 5, 2, 1]
[13, 12, 11, 10, 8, 7, 6, 4, 3, 1]
[13, 12, 11, 10, 8, 7, 5, 4, 2, 1]
[13, 12, 11, 10, 8, 6, 5, 4, 3, 2]
[13, 12, 11, 10, 7, 6, 5, 4, 3, 2]
[13, 12, 11, 10, 7, 6, 5, 4, 3, 1]
[13, 12, 11, 9, 8, 7, 6, 5, 4, 1]
[13, 12, 11, 9, 8, 7, 6, 5, 2, 1]
[13, 12, 11, 9, 8, 7, 5, 4, 3, 1]
[13, 12, 11, 9, 8, 7, 5, 4, 2, 1]
[13, 12, 11, 9, 7, 6, 5, 4, 3, 1]
[13, 12, 11, 8, 7, 6, 5, 4, 3, 2]
[13, 12, 10, 9, 8, 7, 6, 5, 4, 1]
[13, 12, 10, 9, 8, 7, 6, 4, 3, 2]
[13, 11, 10, 9, 8, 7, 6, 5, 4, 2]
[13, 11, 10, 9, 8, 7, 6, 5, 3, 2]
[13, 11, 10, 9, 8, 7, 6, 4, 3, 2]


[13 stages, 12 taps:  (2 sets)

[13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2]
[13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 1]