length n = 64
dimension k = 5
alphabet length q = 4

minimum distance d = 44

generator matrix:
0001000111000000111000111000111111111111111111111111111111111111
0100000123111111000111123111123000123000123000123112233112233123
0010111000000123000123000123000111222111222222111333333333333333
0000123321123132123132132321321123132123213123132132312121323213
1000321000222000321111312111312132000213000321000131223312123231

projective group of automorphisms generated by:
00100
00003
20000
00020
02000