length n = 35
dimension k = 6
alphabet length q = 3

minimum distance d = 20

generator matrix:
00001000011111100001111111111111111
00010011100012201110001221112211122
00100101201220010120122001121211212
01000212020200121202020011211212112
00000122122121221121121211111222221
10000220212002022021200202111221112

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

010000
000100
000001
001000
000010
100000