the 1 isometry classes of irreducible [11,3,6]_2 codes are:

code no       1:
================
1 1 1 1 1 0 0 0 1 0 0
1 1 1 0 0 1 1 0 0 1 0
1 1 0 1 0 1 0 1 0 0 1
the automorphism group has order 384
and is strongly generated by the following 8 elements:
(
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 0 0 0 
0 0 0 0 0 1 0 0 
0 0 0 0 0 0 1 0 
1 1 0 1 0 1 0 1 
, 
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 0 0 0 
0 0 0 0 0 1 0 0 
1 1 1 0 0 1 1 0 
0 0 0 0 0 0 0 1 
, 
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 
1 1 1 1 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 
, 
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 0 0 1 0 0 
1 1 1 0 0 1 1 0 
0 0 0 1 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 1 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 1 
0 0 1 0 0 0 0 0 
0 0 0 0 0 0 1 0 
1 1 1 1 1 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 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 
, 
1 1 1 1 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 1 0 0 
0 0 0 0 0 0 1 0 
0 0 1 0 0 0 0 0 
1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 
, 
1 1 0 1 0 1 0 1 
0 0 0 0 0 0 0 1 
0 0 1 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 1 0 0 
1 1 1 1 1 0 0 0 
1 0 0 0 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(8, 11), 
(7, 10), 
(5, 9), 
(4, 6)(5, 7, 9, 10), 
(3, 6)(5, 11, 9, 8), 
(1, 2), 
(1, 7, 5, 2, 10, 9)(3, 6, 4), 
(1, 8, 2, 11)(5, 10, 9, 7)
orbits: { 1, 2, 9, 11, 5, 8, 7, 10 }, { 3, 6, 4 }