length n = 35
dimension k = 6
alphabet length q = 7

minimum distance d = 20

generator matrix:
11111111111111111111111111111111111
11111112222444411111111222222444444
11124441222111411222444111222111444
14421142122114124122144122112144114
41421412212141124212414212121414141
44124112221411124221441221211441411

projective group of automorphisms generated by:
000001
100000
010000
001000
000100
000010

010000
100000
001000
000100
000010
000001