length n = 57
dimension k = 3
alphabet length q = 3

minimum distance d = 39

generator matrix:
000000000000000000111111111111111111111111111111111111111
000011111111111111000000000000001111111111111122222222222
111100000111112222000001111222220000111112222200001111222

projective group of automorphisms generated by:
100
010
001

100
010
001