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

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