length n = 35
dimension k = 4
alphabet length q = 2

minimum distance d = 18

generator matrix:
00010001000111000111011101110111111
00100010011001011001101110111011111
01000100101010101010110111011101111
10001000110100110100111011101110111

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001