length n = 111
dimension k = 3
alphabet length q = 3

minimum distance d = 76

generator matrix:
000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111
000000001111111111111111111111111100000000000000000000000000111111111111111111111111112222222222222222222222222
111111110000000011111111122222222200000000011111111222222222000000000111111112222222220000000001111111122222222

projective group of automorphisms generated by:
100
010
001