length n = 20
dimension k = 7
alphabet length q = 2

minimum distance d = 8

generator matrix:
00100001100000011111
00000110101111110111
00011000110111111011
00001011011011111101
01001100000000101111
00010101011101111110
10010010000001001111

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

0000001
0100000
0001000
0000010
1000000
0010000
0000100