  Entanglement in symmetric quantum states and the theory of copositive
matrices are intimately related concepts. For the simplest symmetric states,
i.e., the diagonal symmetric (DS) states, it has been shown that there exists a
correspondence between exceptional (non-exceptional) copositive matrices and
non-decomposable (decomposable) Entanglement Witnesses (EWs). Here we show that
EWs of symmetric, but not DS, states can also be constructed from extended
copositive matrices, providing new examples of bound entangled symmetric
states, together with their corresponding EWs, in arbitrary odd dimensions.
