the 1 isometry classes of irreducible [10,1,10]_3 codes are:

code no       1:
================
1 1 1 1 1 1 1 1 1 2
the automorphism group has order 3628800
and is strongly generated by the following 12 elements:
(
2 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 
0 0 2 0 0 0 0 0 0 
0 0 0 2 0 0 0 0 0 
0 0 0 0 2 0 0 0 0 
0 0 0 0 0 2 0 0 0 
0 0 0 0 0 0 2 0 0 
0 0 0 0 0 0 0 2 0 
1 1 1 1 1 1 1 1 1 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 1 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 1 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 1 0 
0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 1 
, 
2 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 
0 0 2 0 0 0 0 0 0 
0 0 0 2 0 0 0 0 0 
0 0 0 0 2 0 0 0 0 
0 0 0 0 0 0 0 0 2 
0 0 0 0 0 2 0 0 0 
0 0 0 0 0 0 2 0 0 
0 0 0 0 0 0 0 2 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 1 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 0 0 1 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 1 0 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
2 2 2 2 2 2 2 2 2 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 
0 0 0 0 0 1 0 0 0 
, 
1 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 1 0 
0 0 0 0 0 1 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 
, 
2 0 0 0 0 0 0 0 0 
0 0 2 0 0 0 0 0 0 
0 0 0 0 2 0 0 0 0 
0 0 0 0 0 0 2 0 0 
0 0 0 0 0 0 0 2 0 
0 0 0 2 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 
0 0 0 0 0 2 0 0 0 
0 0 0 0 0 0 0 0 2 
, 
0 0 0 0 0 0 0 0 1 
0 1 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 1 0 0 0 
1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 
0 0 0 1 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 
, 
1 1 1 1 1 1 1 1 1 
0 0 0 0 2 0 0 0 0 
0 0 0 0 0 0 0 0 2 
0 0 0 0 0 0 2 0 0 
0 0 2 0 0 0 0 0 0 
2 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 
0 0 0 0 0 2 0 0 0 
0 0 0 2 0 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(9, 10), 
(8, 9), 
(7, 8, 9), 
(6, 8, 7), 
(6, 7, 8, 9), 
(5, 6, 7)(8, 9), 
(4, 5, 7, 9, 8, 6), 
(4, 7, 10)(6, 9), 
(3, 8, 6, 7, 4)(5, 9), 
(2, 7, 4, 6, 8, 5, 3), 
(1, 6, 5, 9)(4, 8, 7), 
(1, 6, 8, 10)(2, 7, 4, 9, 3, 5)
orbits: { 1, 9, 10, 8, 7, 6, 5, 4, 3, 2 }