the 1 isometry classes of irreducible [13,9,3]_2 codes are:

code no       1:
================
1 1 1 1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 1 0 0 0 0 0 0 0
1 0 1 0 0 0 1 0 0 0 0 0 0
0 1 1 0 0 0 0 1 0 0 0 0 0
1 1 1 0 0 0 0 0 1 0 0 0 0
1 0 0 1 0 0 0 0 0 1 0 0 0
0 1 0 1 0 0 0 0 0 0 1 0 0
1 1 0 1 0 0 0 0 0 0 0 1 0
0 0 1 1 0 0 0 0 0 0 0 0 1
the automorphism group has order 192
and is strongly generated by the following 6 elements:
(
1 0 0 0 
0 1 0 0 
0 0 1 0 
1 1 0 1 
, 
1 0 0 0 
0 1 0 0 
1 1 1 0 
1 1 0 1 
, 
1 0 0 0 
0 1 0 0 
1 1 0 1 
1 1 1 0 
, 
1 0 0 0 
0 1 0 0 
0 1 1 0 
0 1 0 1 
, 
0 1 0 0 
1 0 0 0 
0 0 1 0 
0 0 0 1 
, 
0 0 0 1 
1 1 0 1 
0 1 0 1 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 12)(5, 13)(10, 11), 
(3, 9)(4, 12)(7, 8)(10, 11), 
(3, 12)(4, 9)(7, 11)(8, 10), 
(3, 8)(4, 11)(7, 9)(10, 12), 
(1, 2)(7, 8)(10, 11), 
(1, 8, 5, 4)(2, 7, 13, 12)(3, 11)(9, 10)
orbits: { 1, 2, 4, 12, 9, 11, 5, 3, 10, 13, 7, 8 }, { 6 }