length n = 35
dimension k = 5
alphabet length q = 7

minimum distance d = 24

generator matrix:
01000000111111000111111111111111111
00111111000000111111222333444555666
00000000123456124356356124356124124
10123456000000000421214241142412124
00632541635536000241241142241142142

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

10000
03000
00500
00040
00004