length n = 68
dimension k = 4
alphabet length q = 4

minimum distance d = 50

generator matrix:
00001010101010101010101010101010111111111111111111111111111111111111
00010101010101010101010101010101011111232323232323232323232323232323
01100000011111111222222223333333301123000000001313131321212121323232
12311223300112233001122330011223322300001321320013213200132132001332

projective group of automorphisms generated by:
0100
1000
0010
0001

0200
2000
0020
0002