the 1 isometry classes of irreducible [10,1,10]_2 codes are:

code no       1:
================
1 1 1 1 1 1 1 1 1 1
the automorphism group has order 3628800
and is strongly generated by the following 13 elements:
(
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 1 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 1 0 0 
1 1 1 1 1 1 1 1 1 
0 0 0 0 0 0 0 0 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 0 1 0 
0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 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 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 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 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 
1 1 1 1 1 1 1 1 1 
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 
, 
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 0 0 1 
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 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 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 0 0 0 1 0 0 0 
0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 1 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 
0 0 0 0 0 0 0 0 1 
, 
1 0 0 0 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 1 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 0 0 1 0 
0 0 0 0 0 0 1 0 0 
0 0 1 0 0 0 0 0 0 
, 
0 0 0 0 0 0 0 0 1 
0 1 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 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 
, 
1 1 1 1 1 1 1 1 1 
0 0 1 0 0 0 0 0 0 
0 1 0 0 0 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 1 0 0 0 0 
1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 
0 0 0 1 0 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(9, 10), 
(8, 9), 
(8, 10), 
(7, 8), 
(7, 8, 9), 
(6, 7, 8), 
(6, 7, 9, 10), 
(5, 8, 9, 6), 
(4, 6, 5)(8, 9), 
(3, 7, 5, 4, 6), 
(2, 6)(3, 9)(4, 5)(7, 8), 
(1, 3, 5, 6, 7, 8, 9), 
(1, 7, 8, 10)(2, 3)(4, 9)(5, 6)
orbits: { 1, 9, 10, 8, 7, 3, 4, 5, 6, 2 }