length n = 113
dimension k = 3
alphabet length q = 3

minimum distance d = 78

generator matrix:
00000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000011111111111111111111111111000000000000000000000000001111111111111111111111111122222222222222222222222222
11111111100000000011111111222222222000000001111111112222222220000000001111111122222222200000000011111111122222222

projective group of automorphisms generated by:
100
010
001