the 1 isometry classes of irreducible [10,6,5]_9 codes are:

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