the 3 isometry classes of irreducible [17,14,4]_16 codes are:

code no       1:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0
15 9 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0
7 10 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
6 11 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
11 12 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
10 13 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 8
and is strongly generated by the following 1 elements:
(
15 12 2 
2 14 7 
5 10 13 
, 1
)
acting on the columns of the generator matrix as follows (in order):
(1, 6, 15, 5, 17, 13, 14, 16)(2, 10, 8, 9, 3, 11, 12, 7)
orbits: { 1, 16, 14, 13, 17, 5, 15, 6 }, { 2, 7, 12, 11, 3, 9, 8, 10 }, { 4 }

code no       2:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
2 4 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
12 5 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
14 6 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
10 7 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
11 8 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0
13 9 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0
9 10 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
6 11 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
8 12 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
4 13 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
15 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 960
and is strongly generated by the following 6 elements:
(
5 0 0 
0 15 0 
0 0 8 
, 2
, 
5 0 0 
0 8 0 
13 12 7 
, 3
, 
13 0 0 
3 15 1 
5 1 9 
, 1
, 
4 0 0 
7 15 10 
4 11 7 
, 2
, 
4 9 1 
3 1 14 
8 5 1 
, 3
, 
12 2 14 
2 13 4 
1 2 12 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(4, 6)(7, 14)(8, 11)(9, 12)(10, 13)(15, 17), 
(3, 16)(4, 7, 6, 14)(8, 13, 11, 10)(9, 15, 12, 17), 
(2, 12, 11, 6)(3, 8, 9, 10)(4, 13)(7, 15, 16, 14), 
(2, 6, 16, 10, 3, 15)(4, 14, 13, 12, 17, 8)(7, 11, 9), 
(1, 9, 11, 7)(2, 13, 12, 16)(3, 6)(4, 15, 10, 8), 
(1, 7, 3, 12, 17)(2, 16, 6, 14, 8)(4, 11, 15, 13, 9)
orbits: { 1, 7, 17, 14, 4, 9, 11, 15, 12, 6, 16, 13, 8, 3, 2, 10 }, { 5 }

code no       3:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
12 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
8 5 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
15 6 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
9 7 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
6 8 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
4 9 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0
13 10 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0
14 11 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
11 12 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
2 13 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
7 14 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
10 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 16320
and is strongly generated by the following 6 elements:
(
7 0 0 
0 1 0 
0 0 6 
, 3
, 
9 0 0 
0 8 0 
4 15 6 
, 3
, 
11 0 0 
0 15 0 
6 13 9 
, 2
, 
6 0 0 
12 15 2 
14 11 6 
, 1
, 
3 14 5 
6 10 8 
5 2 13 
, 1
, 
15 11 13 
5 4 2 
13 1 6 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(4, 8, 7, 5)(6, 9)(10, 11, 17, 12)(13, 16, 14, 15), 
(3, 10, 12, 11)(4, 5, 13, 6)(7, 16)(8, 9, 15, 14), 
(3, 13, 6, 11, 9, 8)(4, 15, 10)(5, 17, 14, 16, 12, 7), 
(2, 6, 8, 12)(3, 14)(5, 9, 7, 15)(10, 13, 16, 11), 
(1, 12, 3, 8)(2, 4, 6, 14)(5, 13, 11, 7)(9, 10), 
(1, 13, 15, 11, 2, 7, 10, 5, 4, 17)(3, 12, 14, 9, 16)(6, 8)
orbits: { 1, 8, 17, 4, 14, 9, 6, 3, 11, 5, 10, 2, 16, 15, 12, 13, 7 }