the 1 isometry classes of irreducible [8,2,7]_8 codes are:

code no       1:
================
1 1 1 1 1 1 1 0
6 5 4 3 2 1 0 1
the automorphism group has order 168
and is strongly generated by the following 3 elements:
(
2 0 0 0 0 0 
0 7 0 0 0 0 
3 3 3 3 3 3 
0 0 0 0 0 4 
0 0 0 6 0 0 
0 0 0 0 1 0 
, 1
, 
4 0 0 0 0 0 
0 0 0 4 0 0 
0 0 0 0 4 0 
4 4 4 4 4 4 
0 0 0 0 0 4 
0 0 4 0 0 0 
, 1
, 
0 6 0 0 0 0 
0 0 0 6 0 0 
0 0 0 0 0 6 
0 0 0 0 6 0 
6 6 6 6 6 6 
6 0 0 0 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(3, 8, 7)(4, 5, 6), 
(2, 7, 4)(3, 6, 5), 
(1, 6, 3, 7, 5, 4, 2)
orbits: { 1, 2, 4, 6, 7, 5, 3, 8 }