length n = 35
dimension k = 5
alphabet length q = 3

minimum distance d = 21

generator matrix:
00010110010110111111111111111111111
00000001121121220000111212211121122
11111111121122110000000000011122211
00101010201202011122112221211221212
01001102002022101212121222112121221

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

00001
01000
00100
10000
00010