C(14,4,3) = 91
Method of Construction: steiner system, taken from hanani, canadian j. math, 12 (1960) pg. 154
Lower Bound: Schonheim
1 2 5 14
1 3 11 14
1 4 6 14
1 7 8 14
1 9 13 14
1 10 12 14
2 3 4 14
2 6 8 14
2 7 9 14
2 10 13 14
2 11 12 14
3 5 6 14
3 7 12 14
3 8 13 14
3 9 10 14
4 5 9 14
4 7 11 14
4 8 10 14
4 12 13 14
5 7 13 14
5 8 12 14
5 10 11 14
6 7 10 14
6 9 12 14
6 11 13 14
8 9 11 14
1 2 3 6
1 2 4 7
1 2 8 11
1 2 9 10
1 2 12 13
1 3 4 5
1 3 7 13
1 3 8 10
1 3 9 12
1 4 8 12
1 4 9 11
1 4 10 13
1 5 6 10
1 5 7 12
1 5 8 9
1 5 11 13
1 6 7 9
1 6 8 13
1 6 11 12
1 7 10 11
2 3 5 13
2 3 7 10
2 3 8 12
2 3 9 11
2 4 5 6
2 4 8 9
2 4 10 12
2 4 11 13
2 5 7 11
2 5 8 10
2 5 9 12
2 6 7 12
2 6 9 13
2 6 10 11
2 7 8 13
3 4 6 12
3 4 7 8
3 4 9 13
3 4 10 11
3 5 7 9
3 5 8 11
3 5 10 12
3 6 7 11
3 6 8 9
3 6 10 13
3 11 12 13
4 5 7 10
4 5 8 13
4 5 11 12
4 6 7 13
4 6 8 11
4 6 9 10
4 7 9 12
5 6 7 8
5 6 9 11
5 6 12 13
5 9 10 13
6 8 10 12
7 8 9 10
7 8 11 12
7 9 11 13
7 10 12 13
8 9 12 13
8 10 11 13
9 10 11 12