length n = 138
dimension k = 3
alphabet length q = 3

minimum distance d = 95

generator matrix:
000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000011111111111111111111111111111111100000000000000000000000000000000011111111111111111111111111111111222222222222222222222222222222
111111111100000000000111111111112222222222200000000000111111111112222222222200000000000111111111112222222222000000000011111111112222222222

projective group of automorphisms generated by:
100
010
001