the 3 isometry classes of irreducible [7,3,3]_2 codes are:

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

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

code no       3:
================
1 1 0 0 1 0 0
1 0 1 0 0 1 0
1 0 0 1 0 0 1
the automorphism group has order 48
and is strongly generated by the following 6 elements:
(
1 0 0 0 
0 1 0 0 
0 0 1 0 
1 0 0 1 
, 
1 0 0 0 
0 1 0 0 
1 0 1 0 
0 0 0 1 
, 
1 0 0 0 
0 1 0 0 
0 0 0 1 
0 0 1 0 
, 
1 0 0 0 
1 1 0 0 
0 0 1 0 
0 0 0 1 
, 
1 0 0 0 
0 0 1 0 
0 1 0 0 
0 0 0 1 
, 
1 0 0 0 
1 0 0 1 
0 0 1 0 
0 1 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 7), 
(3, 6), 
(3, 4)(6, 7), 
(2, 5), 
(2, 3)(5, 6), 
(2, 4, 5, 7)
orbits: { 1 }, { 2, 5, 3, 7, 6, 4 }