the 1 isometry classes of irreducible [7,2,6]_8 codes are:

code no       1:
================
1 1 1 1 1 1 0
5 4 3 2 1 0 1
the automorphism group has order 42
and is strongly generated by the following 2 elements:
(
3 0 0 0 0 
0 0 7 0 0 
6 6 6 6 6 
0 4 0 0 0 
5 2 1 6 7 
, 2
, 
0 0 0 0 5 
5 5 5 5 5 
0 5 0 0 0 
5 0 0 0 0 
0 0 5 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(2, 4, 7, 5, 6, 3), 
(1, 4, 6, 2, 3, 5)
orbits: { 1, 5, 7, 3, 4, 6, 2 }