length n = 63
dimension k = 3
alphabet length q = 5

minimum distance d = 50

generator matrix:
000000000000111111111111111111111111111111111111111111111111111
001111111111000000000011111111112222222222233333333334444444444
110011223344001122334400112233440001122334400112233440011223344

projective group of automorphisms generated by:
100
010
001

100
010
001