length n = 157
dimension k = 3
alphabet length q = 3

minimum distance d = 108

generator matrix:
0000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000001111111111111111111111111111111111110000000000000000000000000000000000000111111111111111111111111111111111111222222222222222222222222222222222222
1111111111110000000000001111111111112222222222220000000000001111111111112222222222222000000000000111111111111222222222222000000000000111111111111222222222222

projective group of automorphisms generated by:
100
010
001