length n = 31
dimension k = 5
alphabet length q = 2

minimum distance d = 16

generator matrix:
0000100000011110000111111011111
0001000011100010111000111101111
0010001100100101011011001110111
0100010101001001101101010111011
1000011010010001110110100111101

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000