length n = 129
dimension k = 7
alphabet length q = 3

minimum distance d = 80

generator matrix:
000000000000000000000000111111111111111111011111100000011111111111111111111111111111111111100011111111111111111111111111111111111
000000000000111111111111000000000000112222101111111111100000011111111111111222222222222222211100011111122222222211111111122222222
000000111111000000112222000000112222000000110111111112211112200001112222222001111111222222211211200222201111222211111222211112222
001111001122001222000000000022020001000012111011112221211222211220220111122220111122000112222112212122220122001111122112211221122
111222120000000012020001001200200020020100111101121221222121212221112011202121002212112020122222122201121012120211112122222121211
220012000202122100200020122200001200000000111110112121112121122122021202010121120112121202212121122020212221112011122221112122112
122100222010220000001200210012000000202000111111021122221221221122201120112112211000122221021222221212012200211111122211221212211

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

0010000
0001000
0000100
1000000
0000001
0100000
0000010