length n = 23
dimension k = 5
alphabet length q = 4

minimum distance d = 15

generator matrix:
00111110000111001111111
01000121111022110011333
12002330223201230101002
23032203030022111100223
33022221220013321233120

projective group of automorphisms generated by:
23110
30130
13113
02030
32220