length n = 54
dimension k = 3
alphabet length q = 3

minimum distance d = 36

generator matrix:
000000000000000000111111111111111111111111111111111111
000001111111111111000000000000111111111111222222222222
111110000011112222000011112222000011112222000011112222

projective group of automorphisms generated by:
100
010
001

100
010
001