the 1 isometry classes of irreducible [16,8,5]_2 codes are:

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