the 1 isometry classes of irreducible [5,2,4]_8 codes are:

code no       1:
================
1 1 1 1 0
3 2 1 0 1
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
5 0 0 
0 0 5 
5 5 5 
, 2
, 
0 7 0 
7 0 0 
7 7 7 
, 0
, 
3 3 3 
0 3 0 
3 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(2, 4, 3), 
(1, 2)(3, 4), 
(1, 3, 4)
orbits: { 1, 2, 4, 3 }, { 5 }