length n = 44
dimension k = 7
alphabet length q = 7

minimum distance d = 14

generator matrix:
00100100000000000000000000000000111111111111
00000000110000111111111111000000000000000000
01001000000000000000000000111111000000123456
00000000161111000022334455000000000000000000
00000011001166225516000016000000000000000000
10010000000000000000000000123456123456000000
00000016002525161600343400000000000000000000

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

1000000
0200000
0050000
0005000
0000500
0000020
0000002