length n = 27
dimension k = 5
alphabet length q = 2

minimum distance d = 13

generator matrix:
000000000000111111111111111
000000111111000000001111111
001011001011000101110010111
010101010101001010110101011
100111000110010011011001101

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