length n = 60
dimension k = 4
alphabet length q = 5

minimum distance d = 46

generator matrix:
000000000000011111111111111111111111111111111111111111111111
011111111111100030040110130230330340140340441341342342443334
102114422433400300401011303023033404014034043414134234243343
230141434324203004001103012303304031403404404133413424423433

projective group of automorphisms generated by:
1000
0010
0001
0100

1000
0010
0001
0100