  In [Z.-X. Liu, M. Liu, X.-G. Wen, arXiv:1101.5680], we studied 8 gapped
symmetric quantum phases in S=1 spin chains %/ladders which respect a discrete
spin rotation $D_2 \subset SO(3)$ and time reversal $T$ symmetries. In this
paper, using a generalized approach, we study all the 16 possible gapped
symmetric quantum phases of 1D integer spin systems with only $D_2+T$ symmetry.
Those phases are beyond Landau symmetry breaking theory and cannot be
characterized by local order parameters, since they do not break any symmetry.
They correspond to 16 symmetry protected topological (SPT) orders. We show that
all the 16 SPT orders can be fully characterized by the physical properties of
the symmetry protected degenerate boundary states (end `spins') at the ends of
a chain segment. So we can measure and distinguish all the 16 SPT orders
experimentally. We also show that all these SPT orders can be realized in S=1
spin ladder models. The gapped symmetric phases protected by subgroups of
$D_2+T$ are also studied. Again, all these phases can be distinguished by
physically measuring their end `spins'.
