length n = 116
dimension k = 3
alphabet length q = 3

minimum distance d = 80

generator matrix:
00000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000011111111111111111111111111100000000000000000000000000111111111111111111111111111222222222222222222222222222
11111111100000000011111111122222222200000000011111111122222222000000000111111111222222222000000000111111111222222222

projective group of automorphisms generated by:
100
010
001