length n = 28
dimension k = 4
alphabet length q = 2

minimum distance d = 14

generator matrix:
0001000100010001110111011111
0010001000100110011011101111
0100010001001010101101110111
1000100010001101001110111011

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001