the 1 isometry classes of irreducible [8,2,5]_2 codes are:

code no       1:
================
1 1 1 1 0 0 1 0
1 1 0 0 1 1 0 1
the automorphism group has order 144
and is strongly generated by the following 7 elements:
(
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 1 0 0 0 
0 0 0 1 0 0 
0 0 0 0 1 0 
1 1 0 0 1 1 
, 
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 1 0 0 0 
0 0 0 1 0 0 
0 0 0 0 0 1 
0 0 0 0 1 0 
, 
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 1 0 0 0 
0 0 0 1 0 0 
1 1 0 0 1 1 
0 0 0 0 0 1 
, 
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 1 0 0 0 
1 1 1 1 0 0 
0 0 0 0 1 0 
0 0 0 0 0 1 
, 
1 0 0 0 0 0 
0 1 0 0 0 0 
1 1 1 1 0 0 
0 0 1 0 0 0 
0 0 0 0 1 0 
0 0 0 0 0 1 
, 
1 0 0 0 0 0 
0 1 0 0 0 0 
1 1 0 0 1 1 
0 0 0 0 1 0 
0 0 0 1 0 0 
1 1 1 1 0 0 
, 
0 1 0 0 0 0 
1 0 0 0 0 0 
1 1 1 1 0 0 
0 0 0 1 0 0 
0 0 0 0 1 0 
0 0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(6, 8), 
(5, 6), 
(5, 8), 
(4, 7), 
(3, 4, 7), 
(3, 8)(4, 5)(6, 7), 
(1, 2)(3, 7)
orbits: { 1, 2 }, { 3, 7, 8, 4, 6, 5 }