length n = 113
dimension k = 4
alphabet length q = 5

minimum distance d = 89

generator matrix:
00100000011111101110001111111110001111111110001111111111111111111111111111111111111111111111111111111111111111111
01000111100002310111110001122331110001144441110002233441123112311231144112222333344112223334444112223334444223344
10011002300230011011231230201031441440400143342243400031213121313211414231234123423241342341234342341241234342423
00023230023000011102132132010304144144014002423430024202113211331214114323412214323424313242143433244213412434232

by truncation of 114