length n = 112
dimension k = 4
alphabet length q = 5

minimum distance d = 88

generator matrix:
0001000000111111011100011111111100011111111100000011111111111111111111111111111111111111111111111111111111111111
0010001111000023101111100011223311100011444411111100000022223333444411231144112222333344112223334444112223334444
0100110023002300110112312302010314414404001422334422334400340024002313211414231234123423241342341234342341241234
1000232300230000111021321320103041441440140034242334242334002400230031214114323412214323424313242143433244213412

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001