length n = 35
dimension k = 7
alphabet length q = 2

minimum distance d = 16

generator matrix:
00110010001110001110000111111110111
01010100110010110010111000111111011
10011001010101010101011011001111101
01101001100101011001101101110011101
10100100111001100011110111010101011
11000011001010101101111110101000111
00001110000001111111111111111111110

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

1000000
0000100
0001000
0010000
0100000
0000010
0000001