length n = 226
dimension k = 7
alphabet length q = 3

minimum distance d = 144

generator matrix:
0000000000000011111111000000000000111111110000000000001111111100000000000011111111000000000000000011111111111111111111111100000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000111100001122000000001111000011220000111111110000000000001111111100000000000000001111111100000000111111112222222211111111111111110000000000000000111122221111111122222222111111112222222211111111222222221111111122222222
0000001111000011220000000011110000112200001111000011220000000011110000112200000000111111110000000011112222000011220000112211111111222222220000000011112222000000001111222211112222111122221111222211112222111122221111222211112222
0011111122000000000000111111220000000000000000112200000000112200001122000000001122111122221111222211221122000000000000000000001122000011221111222200000000112211221122112211221122112211221122112211221122112211221122112211221122
0011220000112200000000112200001122000000001122000000001122000011220000000011220000112211221122112200000000112200001122000011220000112200001122112211221122000000001212121212121212121212121212121212121212121212121212121212121212
1100000000000000000000121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212120000000000000000122121122112122121121221122121122112122112212112
0112121212121212121212212121212121212121210000000000000000000021212121212121212121121212121212121212121212121212121212121212121212121212121212121212121212121212121221211221121221211212211221211200000000000000001221211221121221

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

0001000
0000100
0010000
1000000
0100000
0000010
0000001

2000000
0100000
0010000
0001000
0000200
0000010
0000001