length n = 156
dimension k = 3
alphabet length q = 3

minimum distance d = 108

generator matrix:
000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000111111111111111111111111111111111111000000000000000000000000000000000000111111111111111111111111111111111111222222222222222222222222222222222222
111111111111000000000000111111111111222222222222000000000000111111111111222222222222000000000000111111111111222222222222000000000000111111111111222222222222

projective group of automorphisms generated by:
100
010
001