C(32,4,2) <=88

Method of construction: covering pairs by quads: mills, jcta 15:138-166, 1973.

 2  8  9 32
 3  8  9 32
 1  4  5 32
 6  7 10 32
11 12 13 32
14 15 16 32
17 18 19 32
20 21 22 32
23 24 25 32
26 27 28 32
29 30 31 32
 2  3 10 11
 4  5 12 13
 6  7 14 15
16 17 18 19
20 21 22 23
24 25 26 27
28 29 30 31
 2  3  4  7
 2  3  5  6
 1  2 17 21
 1  3 16 20
 1  4  6  9
 1  5  7  8
 1 10 24 28
 1 11 25 29
 1 12 15 27
 1 13 14 26
 1 18 22 31
 1 19 23 30
 2 12 16 24
 3 13 17 25
 2 13 22 28
 3 12 23 29
 2 14 18 25
 3 15 19 24
 2 15 20 30
 3 14 21 31
 2 19 26 29
 3 18 27 28
 2 23 27 31
 3 22 26 30
 4  8 10 31
 5  9 11 30
 4 11 17 27
 5 10 16 26
 4 14 16 23
 5 15 17 22
 4 15 18 29
 5 14 19 28
 4 19 22 25
 5 18 23 24
 4 21 24 30
 5 20 25 31
 4 20 26 28
 5 21 27 29
 6  8 22 24
 7  9 23 25
 6 10 19 27
 7 11 18 26
 6 11 23 28
 7 10 22 29
 6 13 18 21
 7 12 19 20
 6 12 26 31
 7 13 27 30
 6 17 20 29
 7 16 21 28
 6 16 25 30
 7 17 24 31
 8 11 19 21
 9 10 18 20
 8 13 16 29
 9 12 17 28
 8 12 18 30
 9 13 19 31
 8 14 20 27
 9 15 21 26
 8 15 25 28
 9 14 24 29
 8 17 23 26
 9 16 22 27
10 13 15 23
11 12 14 22
10 12 21 25
11 13 20 24
10 14 17 30
11 15 16 31