length n = 57
dimension k = 3
alphabet length q = 5

minimum distance d = 45

generator matrix:
000000000000111111111111111111111111111111111111111111111
001111111111000000000111111112222222222333333333444444444
110011223344011223344001122340011223344011223344011223344

projective group of automorphisms generated by:
100
010
001

100
010
001