length n = 111
dimension k = 4
alphabet length q = 5

minimum distance d = 87

generator matrix:
000111000000111111000111111111000111111111000111111111000000111111111111111111111111111111111111111111111111111
011001001111000023111000112233111000112233111000114444111111000000222233334444112222333344112223334444144223344
101010110023002300123123020103123123030201144144040014223344223344003400240023231234123423342341241234414342423
110100232300230000213213201030321321302010414414401400342423342423340024002300323412214323433244213412441434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001