length n = 179
dimension k = 3
alphabet length q = 3

minimum distance d = 123

generator matrix:
00000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000000111111111111111111111111111111111111111111000000000000000000000000000000000000000001111111111111111111111111111111111111111122222222222222222222222222222222222222222
11111111111111000000000000001111111111111122222222222222000000000000011111111111111222222222222220000000000000011111111111112222222222222200000000000000111111111111122222222222222

projective group of automorphisms generated by:
100
010
001