the 10 isometry classes of irreducible [11,7,5]_16 codes are:

code no       1:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
8 2 3 1 0 0 1 0 0 0 0
13 12 4 1 0 0 0 1 0 0 0
14 4 8 1 0 0 0 0 1 0 0
9 8 11 1 0 0 0 0 0 1 0
2 6 15 1 0 0 0 0 0 0 1
the automorphism group has order 6
and is strongly generated by the following 2 elements:
(
10 9 11 4 
6 10 8 3 
0 0 0 10 
0 0 13 0 
, 0
, 
0 0 3 0 
0 0 0 3 
3 0 0 0 
0 3 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 9)(2, 11)(3, 4)(5, 7)(6, 10), 
(1, 3)(2, 4)(6, 10)(7, 8)(9, 11)
orbits: { 1, 9, 3, 11, 4, 2 }, { 5, 7, 8 }, { 6, 10 }

code no       2:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
9 2 3 1 0 0 1 0 0 0 0
15 12 4 1 0 0 0 1 0 0 0
11 13 5 1 0 0 0 0 1 0 0
5 6 8 1 0 0 0 0 0 1 0
14 9 12 1 0 0 0 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
4 0 0 0 
12 11 8 5 
8 8 8 8 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 9)(4, 5)(6, 11)(8, 10)
orbits: { 1, 2 }, { 3, 9 }, { 4, 5 }, { 6, 11 }, { 7 }, { 8, 10 }

code no       3:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
9 2 3 1 0 0 1 0 0 0 0
8 14 12 1 0 0 0 1 0 0 0
11 15 13 1 0 0 0 0 1 0 0
7 13 14 1 0 0 0 0 0 1 0
5 11 15 1 0 0 0 0 0 0 1
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
1 5 2 7 
0 8 0 0 
0 0 15 0 
8 14 2 12 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(1, 10, 5, 7)(4, 8, 9, 6)
orbits: { 1, 7, 5, 10 }, { 2 }, { 3 }, { 4, 6, 9, 8 }, { 11 }

code no       4:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
2 4 3 1 0 0 1 0 0 0 0
3 10 5 1 0 0 0 1 0 0 0
7 9 6 1 0 0 0 0 1 0 0
5 11 7 1 0 0 0 0 0 1 0
9 5 12 1 0 0 0 0 0 0 1
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }

code no       5:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
2 4 3 1 0 0 1 0 0 0 0
3 10 5 1 0 0 0 1 0 0 0
7 9 6 1 0 0 0 0 1 0 0
5 11 7 1 0 0 0 0 0 1 0
12 7 14 1 0 0 0 0 0 0 1
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }

code no       6:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
2 4 3 1 0 0 1 0 0 0 0
3 10 5 1 0 0 0 1 0 0 0
7 9 6 1 0 0 0 0 1 0 0
9 5 12 1 0 0 0 0 0 1 0
12 7 14 1 0 0 0 0 0 0 1
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }

code no       7:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
3 8 5 1 0 0 1 0 0 0 0
11 15 6 1 0 0 0 1 0 0 0
15 9 7 1 0 0 0 0 1 0 0
12 6 8 1 0 0 0 0 0 1 0
10 4 9 1 0 0 0 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 13 1 12 
6 9 10 2 
0 0 15 0 
4 4 4 4 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 7)(4, 5)(8, 9)(10, 11)
orbits: { 1, 6 }, { 2, 7 }, { 3 }, { 4, 5 }, { 8, 9 }, { 10, 11 }

code no       8:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
3 8 5 1 0 0 1 0 0 0 0
11 15 6 1 0 0 0 1 0 0 0
15 9 7 1 0 0 0 0 1 0 0
12 6 8 1 0 0 0 0 0 1 0
8 14 11 1 0 0 0 0 0 0 1
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
15 0 0 0 
3 4 11 1 
5 6 13 9 
2 3 4 11 
, 2
, 
0 10 0 0 
11 0 0 0 
0 0 15 0 
5 2 6 1 
, 2
, 
0 0 0 14 
4 6 8 15 
1 5 8 3 
8 14 13 15 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(2, 11)(3, 8)(4, 10)(5, 6), 
(1, 2)(4, 9)(5, 6)(7, 8), 
(1, 10, 2, 9, 11, 4)(3, 8, 7)
orbits: { 1, 2, 4, 11, 10, 9 }, { 3, 8, 7 }, { 5, 6 }

code no       9:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
3 8 5 1 0 0 1 0 0 0 0
11 15 6 1 0 0 0 1 0 0 0
15 9 7 1 0 0 0 0 1 0 0
12 6 8 1 0 0 0 0 0 1 0
5 11 12 1 0 0 0 0 0 0 1
the automorphism group has order 8
and is strongly generated by the following 2 elements:
(
3 11 2 4 
9 7 10 6 
0 0 12 0 
14 14 14 14 
, 1
, 
0 0 0 14 
9 13 14 10 
0 0 11 0 
14 0 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 7, 2, 8)(4, 6, 9, 5), 
(1, 4)(2, 9)(5, 8)(6, 7)(10, 11)
orbits: { 1, 8, 4, 2, 5, 7, 9, 6 }, { 3 }, { 10, 11 }

code no      10:
================
1 1 1 1 1 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0
3 8 5 1 0 0 1 0 0 0 0
11 15 6 1 0 0 0 1 0 0 0
10 4 9 1 0 0 0 0 1 0 0
7 13 10 1 0 0 0 0 0 1 0
8 14 11 1 0 0 0 0 0 0 1
the automorphism group has order 20
and is strongly generated by the following 3 elements:
(
10 0 0 0 
13 5 4 2 
0 0 9 0 
13 15 7 8 
, 2
, 
0 0 0 9 
0 0 9 0 
0 9 0 0 
9 0 0 0 
, 2
, 
12 5 8 14 
0 0 0 12 
1 3 5 15 
0 11 0 0 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 9)(4, 6)(7, 10)(8, 11), 
(1, 4)(2, 3)(6, 10)(8, 9), 
(1, 9, 10, 11)(2, 4)(3, 6, 8, 7)
orbits: { 1, 4, 11, 6, 2, 8, 10, 3, 9, 7 }, { 5 }