the 1 isometry classes of irreducible [14,10,5]_16 codes are:

code no       1:
================
1 1 1 1 1 0 0 0 0 0 0 0 0 0
4 3 2 1 0 1 0 0 0 0 0 0 0 0
3 8 5 1 0 0 1 0 0 0 0 0 0 0
11 15 6 1 0 0 0 1 0 0 0 0 0 0
15 9 7 1 0 0 0 0 1 0 0 0 0 0
12 6 8 1 0 0 0 0 0 1 0 0 0 0
10 4 9 1 0 0 0 0 0 0 1 0 0 0
7 13 10 1 0 0 0 0 0 0 0 1 0 0
8 14 11 1 0 0 0 0 0 0 0 0 1 0
5 11 12 1 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 24
and is strongly generated by the following 2 elements:
(
15 0 0 0 
7 11 6 3 
0 0 1 0 
7 4 8 12 
, 2
, 
10 5 6 11 
0 0 10 0 
7 3 11 8 
5 0 0 0 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 11)(4, 6)(7, 12)(8, 13)(9, 10), 
(1, 4, 7, 14, 8, 6, 3, 2, 13, 5, 12, 11)(9, 10)
orbits: { 1, 11, 2, 12, 3, 7, 5, 6, 4, 13, 8, 14 }, { 9, 10 }