length n = 219
dimension k = 3
alphabet length q = 3

minimum distance d = 151

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000000001111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111222222222222222222222222222222222222222222222222222
111111111111111110000000000000000111111111111111112222222222222222000000000000000001111111111111111122222222222222222000000000000000001111111111111111122222222222222222000000000000000001111111111111111122222222222222222

projective group of automorphisms generated by:
100
010
001