length n = 141
dimension k = 6
alphabet length q = 3

minimum distance d = 90

generator matrix:
000000000011111000000000011111111110000011111111111111111111111110000000000111111111111111111111111111111111111111111111111111111111111111111
000000111100001000011111100000011111111100000111111111111222222221111111111000000000011111111111111112222222222222222222222221111111122222222
000111000100010011100011100011100011112211122000111111222001112221111222222111122222200001112222222220000001111111112222222221111222211112222
011001001000100101101100101100100101121211212112001122011120110221222111222122211122212220220001122221112220001122220001111221122112211221122
101010010001000110110101010101001001211212112121120201101121012022122122112212212211221222021220200121221121220200121120012011212121212121212
110100100010000111011010011010010002111221112211212010110121102202212212121221221212122122202122012002121212122012001211200101221211221121221

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000