length n = 176
dimension k = 7
alphabet length q = 3

minimum distance d = 111

generator matrix:
00000010000000000000000000000001111111111111111111111111111111111111111111111111111111111110000000000001111111111111111111111111111110000001111111111111111111111111111111111111
00000100000111111111111111111110000000000000000000011111111111111112222222222222222222222220011111111110000000000111111112222222222221111110000001111111111112222222222222222221
00001001111000011111111222222220000111111112222222200000000222222220000000011111111222222221100222222220022222222111111220000000011221111221111220000222222220011111111222222221
00010001122112200122222001112221122001222220011122200122222000011220011122200001122000011221212001112221200111222000222020011122202011222121222121222001122221200112222001111221
00100001212221122200122110021221212120022221202201122200122001202012211200111220000001202012112221120012112022011022002201100212202102122212122122122120201222122220011120112011
01000002211121222212002221210012121222200122211210012022202122100001202211002010201120020101221110201222111200212202020021222010120102212212212212212222210011212021202211021101
10000002121212112022220122201102211222212001120021222212020210020101120012220102010212100002121122021101222112100220200202212101020012221122221212221212022102121202120112200111

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

0010000
0100000
1000000
0000010
0000001
0000100
0001000