length n = 106
dimension k = 4
alphabet length q = 5

minimum distance d = 83

generator matrix:
0001000111000111111111000111111111000111111111000000111111111111111111111111111111111111111111111111111111
0010011001111000112233111000112233111000114444111111000000222233334444111231123112223334444112223334444144
0100101010123123020103123123030201144144040014223344223344003400240023112131321241342341234342341241234414
1000110100213213201030321321302010414414401400342423342423340024002300121133121424313242143433244213412441

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001