the 1 isometry classes of irreducible [10,4,7]_9 codes are:

code no       1:
================
1 1 1 1 1 1 2 0 0 0
6 5 4 3 2 1 0 2 0 0
8 4 7 6 3 1 0 0 2 0
7 6 8 4 5 1 0 0 0 2
the automorphism group has order 1440
and is strongly generated by the following 6 elements:
(
5 0 0 0 0 0 
0 2 0 0 0 0 
0 0 2 0 0 0 
2 1 3 7 5 8 
2 2 2 2 2 2 
6 1 8 3 7 5 
, 1
, 
6 0 0 0 0 0 
0 6 0 0 0 0 
0 0 0 0 0 6 
0 0 0 0 6 0 
0 0 0 6 0 0 
0 0 6 0 0 0 
, 1
, 
6 0 0 0 0 0 
0 1 0 0 0 0 
0 0 0 0 2 0 
0 0 2 0 0 0 
4 1 7 5 8 3 
2 1 3 7 5 8 
, 1
, 
8 0 0 0 0 0 
6 5 4 3 2 1 
7 5 3 2 1 4 
0 5 0 0 0 0 
0 0 0 0 0 7 
0 0 5 0 0 0 
, 0
, 
3 6 5 4 8 1 
0 0 0 0 4 0 
0 0 6 0 0 0 
0 0 0 0 0 4 
7 0 0 0 0 0 
5 5 5 5 5 5 
, 1
, 
4 7 1 2 8 6 
0 0 0 0 0 8 
8 0 0 0 0 0 
1 3 7 2 4 8 
0 0 5 0 0 0 
0 0 0 0 1 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 7)(6, 8), 
(3, 6)(4, 5)(8, 10), 
(3, 4, 10, 5)(6, 7, 8, 9), 
(2, 4, 7, 9, 3, 6, 5, 8), 
(1, 5, 2, 9)(4, 8, 7, 6), 
(1, 3, 5, 6, 2, 8, 4, 10)
orbits: { 1, 9, 10, 4, 8, 7, 2, 5, 3, 6 }