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

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