length n = 30
dimension k = 4
alphabet length q = 2

minimum distance d = 16

generator matrix:
000100010001110001110111011111
001000100110010110011011101111
010001001010101010101101110111
100010001101001101001110111011

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001