length n = 51
dimension k = 3
alphabet length q = 5

minimum distance d = 40

generator matrix:
000000000001111111111111111111111111111111111111111
001111111110000000111111112222222223333333344444444
110001122330223344112233440001122330011224400113344

projective group of automorphisms generated by:
100
010
001

100
010
001