length n = 59
dimension k = 3
alphabet length q = 5

minimum distance d = 47

generator matrix:
00000000000111111111111111111111111111111111111111111111111
00111111111000000000011111111122222222223333333333444444444
11011223344001122334400122334400112233440011223344011223344

projective group of automorphisms generated by:
100
010
001

100
010
001