the 1 isometry classes of irreducible [11,3,7]_3 codes are:

code no       1:
================
1 1 1 1 1 1 1 1 2 0 0
2 2 2 1 1 1 0 0 0 2 0
2 1 0 2 1 0 2 1 0 0 2
the automorphism group has order 72
and is strongly generated by the following 5 elements:
(
2 0 0 0 0 0 0 0 
0 2 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 2 
1 1 1 1 1 1 1 1 
0 0 0 2 0 0 0 0 
0 0 0 0 2 0 0 0 
, 
2 0 0 0 0 0 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 
1 1 1 1 1 1 1 1 
0 0 0 0 0 0 0 2 
0 0 0 2 0 0 0 0 
0 0 0 0 0 2 0 0 
, 
1 0 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 
0 0 0 0 0 0 1 0 
0 1 0 0 0 0 0 0 
0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 1 
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 0 1 0 0 0 
0 0 0 0 0 1 0 0 
0 0 0 0 0 0 1 0 
0 0 0 0 0 0 0 1 
2 2 2 2 2 2 2 2 
1 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 1 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 1 0 0 
0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 1 
2 2 2 2 2 2 2 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 7)(5, 8)(6, 9), 
(2, 3)(4, 7)(5, 9)(6, 8), 
(2, 4)(3, 7)(6, 8)(10, 11), 
(1, 7, 4)(2, 8, 5)(3, 9, 6), 
(1, 3, 2)(4, 6, 5)(7, 9, 8)
orbits: { 1, 4, 2, 7, 5, 3, 8, 9, 6 }, { 10, 11 }