length n = 112
dimension k = 7
alphabet length q = 3

minimum distance d = 70

generator matrix:
0000111100000000000011111111111100000000000000000000000011111111111111111111111111111111111111111111111111111111
0000112200001111111100000000112200000000111111111111111100000000000000001111222211111111111111112222222222222222
0000121211110000112200001122000011111111000000001111222200000000111122220000000011111111222222221111111122222222
1111000011221122121200000000000011112222000000000000000011112222000000001122112211112222111122221111222211112222
1122000000001212000011220000121211221122111122220000000000000000112211220000000011221122112211221122112211221122
1212000012120000000012121212000000000000112211221122112211221122000000000000000022111122112222111122221122111122
2112211200000000000000000000000012121212121212121212121212121212121212121212121212121212121212121212121212121212

projective group of automorphisms generated by:
0000010
0000100
0001000
0100000
1000000
0010000
0000001

1000000
0200000
0020000
0001000
0000100
0000010
0000001