length n = 10
dimension k = 5
alphabet length q = 2

minimum distance d = 4

generator matrix:
0000101111
0001010111
0010011011
0100011101
1000011110

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000