  We consider the existence and spectral stability of nonlinear discrete
localized solutions representing light pulses propagating in a twisted
multi-core optical fiber. By considering an even number, $N$, of waveguides, we
derive asymptotic expressions for solutions in which the bulk of the light
intensity is concentrated as a soliton-like pulses confined to a single
waveguide. The leading order terms obtained are in very good agreement with
results of numerical computations. Furthermore, as in the model without
temporal dispersion, when the twist parameter, $\phi$, is given by $\phi =
\pi/N$, these standing waves exhibit optical suppression, in which a single
waveguide remains unexcited, to leading order. Spectral computations and
numerical evolution experiments suggest that these standing wave solutions are
stable for values of the coupling parameter less than a critical value, at
which point a spectral instability results from the collision of an internal
eigenvalue with the eigenvalues at the origin. This critical value has a
maximum when $\phi = \pi/N$.
