length n = 46
dimension k = 4
alphabet length q = 7

minimum distance d = 38

generator matrix:
0000001111110111111111111111111111111111111111
0011110000241024112233445566113355112334556666
1100240024002402251536461234351315365166251346
2424002400004240525163642134353151635616523164

projective group of automorphisms generated by:
0001
0100
1000
0010

0010
1000
0100
0001