length n = 45
dimension k = 7
alphabet length q = 3

minimum distance d = 24

generator matrix:
000000000000011111111111111111111111111100111
000111111111100000000011111111222222222201020
011000111122201111222200011122000111112210122
101022001201211112111200201212022012220101212
121111022102110220112111201012001110012012102
112111120100011012020202221021102220122221012
210102220211201211001220021002022121011010011

projective group of automorphisms generated by:
0000001
1000002
0100002
0010000
0001000
0000100
0000012