length n = 125
dimension k = 4
alphabet length q = 5

minimum distance d = 100

generator matrix:
00010001110000001111110111000111111111000111111111000000111111111111111111111111111111111111111111111111111111111111111111111
00100110010011110000231011111000112233111000114444111111000000222233334444111231144112233112222333344112223334444112223334444
01001010101100230023001101123123020103144144040014223344223344003400240023113211414231213231234123423241342341234342341241234
10001101002323002300001110213213201030414414401400342423342423340024002300131214114232131323412214323424313242143433244213412

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001