length n = 120
dimension k = 3
alphabet length q = 3

minimum distance d = 82

generator matrix:
000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000111111111111111111111111111000000000000000000000000000011111111111111111111111111112222222222222222222222222222
111111111000000000111111111222222222000000000011111111122222222200000000011111111112222222220000000001111111111222222222

projective group of automorphisms generated by:
100
010
001