length n = 27
dimension k = 7
alphabet length q = 2

minimum distance d = 12

generator matrix:
000000111111001111001011111
000111000111010001011100001
011001011001100010110000011
101010101010000101101000110
010110010110001010011001100
110001110001010100110011000
101100010011100111100101111

projective group of automorphisms generated by:
0000001
1000001
0100000
0010000
0001000
0000100
0000011