length n = 30
dimension k = 5
alphabet length q = 5

minimum distance d = 20

generator matrix:
011111111111111111111111111111
102341112311114444441122233344
420431132114441114442312312434
334201312141441441143424132132
243023112144144141412334241312

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

10000
00100
01000
00001
00010