length n = 61
dimension k = 5
alphabet length q = 4

minimum distance d = 43

generator matrix:
0000001111111111111111111111111111111111111111111111111111111
0001110000000000111222333111111222222333333111111222222333333
0001230111222333123123123000123000123000123112233112233112233
1110000123123123000000000111111333333222222333333222222111111
1230000132213321123231312123000123000123000122313231312131223

projective group of automorphisms generated by:
10000
00010
00001
01000
00100

10000
02000
00100
00030
00002