the 1 isometry classes of irreducible [8,1,8]_5 codes are:

code no       1:
================
1 1 1 1 1 1 1 4
the automorphism group has order 40320
and is strongly generated by the following 11 elements:
(
4 0 0 0 0 0 0 
0 4 0 0 0 0 0 
0 0 4 0 0 0 0 
0 0 0 4 0 0 0 
0 0 0 0 4 0 0 
0 0 0 0 0 4 0 
1 1 1 1 1 1 1 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 1 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 0 
, 
3 0 0 0 0 0 0 
0 3 0 0 0 0 0 
0 0 3 0 0 0 0 
0 0 0 3 0 0 0 
0 0 0 0 0 3 0 
0 0 0 0 0 0 3 
0 0 0 0 3 0 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 2 0 
0 0 0 2 0 0 0 
0 0 0 0 0 0 2 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
4 4 4 4 4 4 4 
0 0 0 0 0 0 1 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
, 
4 0 0 0 0 0 0 
0 4 0 0 0 0 0 
0 0 0 0 4 0 0 
0 0 4 0 0 0 0 
0 0 0 4 0 0 0 
0 0 0 0 0 4 0 
0 0 0 0 0 0 4 
, 
3 0 0 0 0 0 0 
0 3 0 0 0 0 0 
0 0 0 0 0 0 3 
0 0 0 3 0 0 0 
0 0 3 0 0 0 0 
0 0 0 0 0 3 0 
0 0 0 0 3 0 0 
, 
4 0 0 0 0 0 0 
0 0 4 0 0 0 0 
0 0 0 0 0 0 4 
0 4 0 0 0 0 0 
0 0 0 0 0 4 0 
0 0 0 0 4 0 0 
0 0 0 4 0 0 0 
, 
0 0 0 0 0 1 0 
1 0 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 0 0 1 
0 1 0 0 0 0 0 
0 0 0 0 1 0 0 
0 0 1 0 0 0 0 
, 
0 0 0 4 0 0 0 
0 0 0 0 4 0 0 
0 0 0 0 0 0 4 
0 0 4 0 0 0 0 
0 4 0 0 0 0 0 
0 0 0 0 0 4 0 
4 0 0 0 0 0 0 
, 
4 4 4 4 4 4 4 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
0 0 0 0 0 0 1 
0 0 0 1 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(6, 7), 
(5, 7, 6), 
(4, 6, 5), 
(4, 8)(5, 6, 7), 
(3, 4, 5), 
(3, 5, 7), 
(2, 4, 7, 3)(5, 6), 
(1, 2, 5, 6)(3, 7, 4), 
(1, 7, 3, 4)(2, 5), 
(1, 8)(4, 7, 6)
orbits: { 1, 6, 4, 8, 7, 5, 3, 2 }