length n = 112
dimension k = 3
alphabet length q = 3

minimum distance d = 77

generator matrix:
0000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111
0000000001111111111111111111111111100000000000000000000000000111111111111111111111111122222222222222222222222222
1111111110000000011111111122222222200000000011111111122222222000000000111111112222222200000000011111111122222222

projective group of automorphisms generated by:
100
010
001