An APPTS(41) on the point set {A,B,0,1,2,\ldots,38} with a hole {0,1,2,A,B}, and with the property that the addition of any of the 10 triples from the hole will not generate a Pasch configuration. With the addition of blocks A12 and B02 it becomes a generically labelled APMMPTS(41). The point A is represented as 39 and B as 40. There are no blocks {2,x,x+4} with arithmetic mod 39. 

The {A,B}-cycles are (3,4,7,8,5,6)+6k,  k=0,1,2,3,4,5. 

By adding the further triples AB1 and A01 to the APMMPTS(41), the design is converted to an APMMCT(41) with thrice repeated pair A1. 

missing pairs
0 1
0 2
0 39 
0 40
1 2
1 39
1 40
2 39
2 40
39 40

number of missing pairs = 10

list of blocks
0 3 8
0 4 11
0 5 13
0 6 15
0 7 9
0 10 17
0 12 23
0 14 25
0 16 27
0 18 29
0 19 21
0 20 35
0 22 37
0 24 28
0 26 34
0 30 36
0 31 33
0 32 38
1 3 9
1 4 24
1 5 17
1 6 30
1 7 14
1 8 37
1 10 11
1 12 38
1 13 33
1 15 34
1 16 31
1 18 25
1 19 36
1 20 27
1 21 35
1 22 32
1 23 29
1 26 28
2 3 13
2 4 38
2 5 21
2 6 28
2 7 15
2 8 29
2 9 30
2 10 31
2 11 18
2 12 20
2 14 24
2 16 26
2 17 37
2 19 34
2 22 33
2 23 36
2 25 35
2 27 32
3 4 39
3 5 16
3 6 40
3 7 17
3 10 21
3 11 23
3 12 25
3 14 28
3 15 29
3 18 33
3 19 35
3 20 37
3 22 30
3 24 32
3 26 27
3 31 34
3 36 38
4 5 9
4 6 26
4 7 40
4 8 36
4 10 15
4 12 18
4 13 16
4 14 29
4 17 28
4 19 32
4 20 25
4 21 33
4 22 27
4 23 35
4 30 34
4 31 37
5 6 39
5 7 23
5 8 40
5 10 25
5 11 28
5 12 29
5 14 33
5 15 35
5 18 37
5 19 30
5 20 32
5 22 26
5 24 31
5 27 36
5 34 38
6 7 19
6 8 17
6 9 33
6 10 27
6 11 32
6 12 13
6 14 22
6 16 29
6 18 34
6 20 24
6 21 38
6 23 25
6 31 35
6 36 37
7 8 39
7 10 22
7 11 27
7 12 31
7 13 38
7 16 18
7 20 21
7 24 34
7 25 36
7 26 29
7 28 30
7 32 33
7 35 37
8 9 21
8 10 32
8 11 35
8 12 16
8 13 31
8 14 27
8 15 23
8 18 30
8 19 25
8 20 34
8 22 24
8 26 33
8 28 38
9 10 39
9 11 34
9 12 40
9 13 20
9 14 31
9 15 26
9 16 37
9 17 25
9 18 24
9 19 28
9 22 23
9 27 38
9 29 35
9 32 36
10 12 19
10 13 40
10 14 34
10 16 36
10 18 20
10 23 28
10 24 29
10 26 37
10 30 38
10 33 35
11 12 39
11 13 22
11 14 40
11 15 36
11 16 24
11 17 19
11 20 26
11 21 30
11 25 31
11 29 37
11 33 38
12 14 21
12 15 28
12 17 33
12 22 35
12 24 37
12 26 36
12 27 34
12 30 32
13 14 39
13 15 21
13 17 30
13 18 19
13 23 32
13 24 26
13 25 37
13 27 29
13 28 35
13 34 36
14 15 17
14 16 35
14 18 32
14 19 26
14 20 36
14 23 38
14 30 37
15 16 39
15 18 40
15 19 37
15 20 22
15 24 38
15 25 32
15 27 31
15 30 33
16 17 32
16 19 40
16 20 38
16 21 28
16 22 34
16 23 33
16 25 30
17 18 39
17 20 40
17 21 31
17 22 29
17 23 34
17 24 36
17 26 38
17 27 35
18 21 36
18 22 28
18 23 27
18 26 35
18 31 38
19 20 39
19 22 38
19 23 31
19 24 27
19 29 33
20 23 30
20 28 33
20 29 31
21 22 39
21 23 37
21 24 40
21 25 27
21 26 32
21 29 34
22 25 40
22 31 36
23 24 39
23 26 40
24 25 33
24 30 35
25 26 39
25 28 34
25 29 38
26 30 31
27 28 39
27 30 40
27 33 37
28 29 36
28 31 40
28 32 37
29 30 39
29 32 40
31 32 39
32 34 35
33 34 39
33 36 40
34 37 40
35 36 39
35 38 40
37 38 39