length n = 53
dimension k = 3
alphabet length q = 5

minimum distance d = 42

generator matrix:
00000000011111111111111111111111111111111111111111111
01111111100000000001111111112222222233333334444444444
10112334400112233440011223440112234401123440011223344

projective group of automorphisms generated by:
100
010
001

100
010
001