length n = 69
dimension k = 5
alphabet length q = 2

minimum distance d = 34

generator matrix:
000010000100001000000111100001111110000111111000011111101111011111111
000100001000010000111000101110001110111000111011100011110111101111111
001000010000100011001001010110110011011011001101101100111011110111111
010000100001000101010010011011010101101101010110110101011101111011111
100001000010000110100100011101101001110110100111011010011110111101111

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000