length n = 238
dimension k = 7
alphabet length q = 3

minimum distance d = 152

generator matrix:
0000001000000000000000111111000000000000000011111111111100001110000000000000000000000001111111111111111111111111111111111111111111111111111111111110000000000001111111111111111111111111111110111111000000111111111111111111111111111111111111
0000010000000000011111000001000000001111111100000000111100110010000111111111111111111110000000000000000000011111111111111112222222222222222222222220011111111110000000000111111112222222222221011111111111000000111111111111222222222222222222
0000100000000111100001000010000011110000111100001111000011000011111000011111111222222220000111111112222222200000000222222220000000011111111222222221100222222220022222222111111220000000011221101111111122111122000022222222001111111122222222
0001000000111000100010000100011100110011000100110001000101010101122112200122222001112221122001222220011122200122222000011220011122200001122000011221212001112221200111222000222020011122202011110111122212122212122200112222120011222200111122
0010000011001001000100001000101101011100001001010010001010011001212221122200122110021221212120022221202201122200122001202012211200111220000001202012112221120012112022011022002201100212202101111011212221212212212212020122212222001112011201
0100000101010010001000010000110111000101010010100100010001101002211121222212002221210012121222200122211210012022202122100001202211002010201120020101221110201222111200212202020021222010120101111101221221221221221222221001121202120221102110
1000000110100100010000100000111010101010100011001000100010100102121212112022220122201102211222212001120021222212020210020101120012220102010212100002121122021101222112100220200202212101020011111110222112222121222121202210212120212011220011

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

0010000
0100000
1000000
0000010
0000001
0000100
0001000