length n = 113
dimension k = 6
alphabet length q = 3

minimum distance d = 72

generator matrix:
01111100000111111111111111111111111100000000001111111111111111111111111111111111111111111111111111111111111111111
10111111111000001111111111112222222211111111110000000000111111111111111122222222222222222222222211111221111222222
11011111122111220001111112220011122211112222221111222222000011122222222200000011111111122222222211112121222111222
11101111212112121120011220111201102212221112221222111222122202200011222211122200011222200011112211121122122122112
11110112112121121211202011011210120221221221122122122112212220212202001212211212202001211200120111211122212212121
11111021112211122112120101101211022022122121212212212121221222021220120021212121220120012112001012111122221221211

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000