the 1 isometry classes of irreducible [14,8,5]_3 codes are:

code no       1:
================
1 1 1 1 1 1 2 0 0 0 0 0 0 0
2 1 1 1 0 0 0 2 0 0 0 0 0 0
1 2 1 0 1 0 0 0 2 0 0 0 0 0
2 2 0 1 1 0 0 0 0 2 0 0 0 0
2 2 2 1 0 1 0 0 0 0 2 0 0 0
0 1 2 2 0 1 0 0 0 0 0 2 0 0
1 2 0 0 2 1 0 0 0 0 0 0 2 0
2 0 1 0 2 1 0 0 0 0 0 0 0 2
the automorphism group has order 84
and is strongly generated by the following 5 elements:
(
2 0 0 0 0 0 
1 1 0 2 2 0 
0 0 0 0 1 0 
0 1 2 2 0 1 
1 2 1 0 1 0 
0 0 1 0 0 0 
, 
1 2 0 0 2 1 
0 1 2 2 0 1 
0 0 0 0 2 0 
2 0 0 0 0 0 
2 2 2 2 2 2 
1 1 1 2 0 2 
, 
0 2 1 1 0 2 
1 0 0 0 0 0 
0 0 0 0 0 2 
0 1 0 0 0 0 
1 1 1 2 0 2 
0 0 0 0 2 0 
, 
2 0 1 0 2 1 
2 0 0 0 0 0 
0 0 2 0 0 0 
1 1 0 2 2 0 
0 0 0 0 0 2 
2 1 2 0 2 0 
, 
0 0 0 0 0 2 
2 1 2 0 2 0 
1 0 2 0 1 2 
0 0 2 0 0 0 
2 1 0 0 1 2 
0 0 0 1 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 14, 12, 4, 13, 10)(3, 6, 11, 8, 9, 5), 
(1, 4, 13)(2, 10, 12)(3, 7, 5)(6, 9, 11), 
(1, 2, 4, 10, 13, 12)(3, 9, 7, 11, 5, 6), 
(1, 2, 14)(4, 12, 10)(5, 9, 6)(7, 11, 8), 
(1, 9, 2, 8, 13, 5, 10, 7, 12, 11, 14, 3, 4, 6)
orbits: { 1, 13, 12, 14, 6, 4, 10, 8, 7, 2, 11, 3, 5, 9 }