length n = 16
dimension k = 5
alphabet length q = 2

minimum distance d = 8

generator matrix:
0000100001111111
0001001110001111
0010010110110011
0100011011010101
1000011101101001

projective group of automorphisms generated by:
00100
10000
01000
00010
00001

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000