length n = 28
dimension k = 6
alphabet length q = 2

minimum distance d = 12

generator matrix:
0000010000000000111111111111
0000100000111111000000111111
0001000111000111000111000111
0010001011011001011001001011
0100001101101010101010010011
1000001110110100110100100011

projective group of automorphisms generated by:
000001
100000
010000
001000
000100
000010

010000
100000
001000
000100
000010
000001