length n = 109
dimension k = 7
alphabet length q = 3

minimum distance d = 66

generator matrix:
0000000001111111111111110000000011111111111111110000011111111111111111110000011111111111111111110001111101111
0000111110000011111222220001111100000111112222220111100001111111222222220111100001111111222222220110012210112
0111000110001111122001111110012200012001220112221012201220011122011112221012201120111222001112221010220112011
1001001110120112211020020220120122210020120110120101211112201111001121120111222222012002021221120222210002212
1011121122111202201111210012110112200010212021211122111022201212010200001212210200001012220021212211212121022
1211112022102001220200002012022210120012120201011120020200101221011120222202100001122002012111212212020202202
1120100012002000111222112220210020101212020101221012220111011222211202022021122011201212112201202022002121012

projective group of automorphisms generated by:
0000001
1000000
0100000
0010000
0001001
0000101
0000011