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

minimum distance d = 84

generator matrix:
00010000001111110000001111110111011100011111111100011111111100011111111100011111111111111111111111111111111111111
00100011110000230011110000231011101111100011223311100011223311100011223311100011223311123112311231123112222233333
01001100230023001100230023001101110112312302010312312302010312312303020112312303020111213121313211321231233312223
10002323002300002323002300001110111021321320103021321320103032132130201032132130201012113211331213121323312321232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001