length n = 128
dimension k = 7
alphabet length q = 3

minimum distance d = 79

generator matrix:
00000000000000000000000011111111111111111100000000011111111111100000011111111111111111111111111111111111111111111111111111111111
00000000000011111111111100000000000011222200011111100000011111111111100000011111111111122222222222222222211111111111222222222222
00000011111100000011222200000011222200000011100011100011100011111222211222200111222222200001111111222222211111222222111111222222
00111100112200122200000000002202000100001201101101111100100100112122222112222022000112211220112222011112211122112222112222111122
11122212000000001202000100120020002002010010110110101101111000021111212221212222122020212112220012101120111222221112121122112212
22001200020212210020002012220000120000000011111010010110001101022212122122121202212221022121021200210211111212121222222211121211
12210022201022000000120021001200000020200011011101011011010010022221121211122220221202121212202121122001011221222121221212211121

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

0010000
0001000
0000100
1000000
0000001
0100000
0000010