the 1 isometry classes of irreducible [6,2,5]_8 codes are:

code no       1:
================
1 1 1 1 1 0
4 3 2 1 0 1
the automorphism group has order 18
and is strongly generated by the following 3 elements:
(
4 0 0 0 
0 0 0 4 
0 4 0 0 
0 0 4 0 
, 2
, 
6 6 6 6 
0 5 0 0 
0 0 1 0 
0 0 0 2 
, 2
, 
0 0 4 0 
2 0 0 0 
7 4 1 5 
5 5 5 5 
, 1
)
acting on the columns of the generator matrix as follows (in order):
(2, 3, 4), 
(1, 6, 5), 
(1, 2, 5, 4, 6, 3)
orbits: { 1, 5, 3, 6, 2, 4 }