length n = 11
dimension k = 5
alphabet length q = 2

minimum distance d = 4

generator matrix:
00001011111
00010101111
00100110111
01000111011
10000111101

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000