length n = 28
dimension k = 6
alphabet length q = 5

minimum distance d = 18

generator matrix:
0000000011111111111111111111
0000111112341111222233334444
1111000013241111333322224444
1234000000001234123412341234
0000123400001234241331424321
3223144100001441233232234114

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

100000
040000
004000
000300
000020
000001