An APPTS(23) on the point set {A,B,0,1,2,...,20} 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(23). The point A is represented as 21 and B as 22. There are no blocks {2,x,x+4} with arithmetic mod 21. 

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

By adding the further triples AB1 and A01 to the APMMPTS(23), the design is converted to an APMMCT(23) with thrice repeated pair A1. 

missing pairs
0 1
0 2
0 21 
0 22
1 2
1 21
1 22
2 21
2 22
21 22

number of missing pairs = 10

list of blocks
0 3 8
0 4 9
0 5 11
0 6 13
0 7 15
0 10 17
0 12 16
0 14 20
0 18 19
1 3 10
1 4 13
1 5 9
1 6 12
1 7 11
1 8 19
1 14 18
1 15 20
1 16 17
2 3 11
2 4 16
2 5 20
2 6 15
2 7 17
2 8 13
2 9 14
2 10 19
2 12 18
3 4 21
3 5 15
3 6 22
3 7 19
3 9 17
3 12 13
3 14 16
3 18 20
4 5 19
4 6 14
4 7 22
4 8 18
4 10 15
4 11 17
4 12 20
5 6 21
5 7 14
5 8 22
5 10 18
5 12 17
5 13 16
6 7 9
6 8 17
6 10 20
6 11 19
6 16 18
7 8 21
7 10 12
7 13 18
7 16 20
8 9 16
8 10 14
8 11 20
8 12 15
9 10 21
9 11 18
9 12 22
9 13 20
9 15 19
10 11 16
10 13 22
11 12 21
11 13 15
11 14 22
12 14 19
13 14 21
13 17 19
14 15 17
15 16 21
15 18 22
16 19 22
17 18 21
17 20 22
19 20 21