  Although the recent experimental efforts to improve the observation of
Ultra-High Energy Cosmic Rays (UHECRs) above $10^{18}$ eV, the origin and the
composition of such particles is still unknown. In this work, we present the
novel Monte Carlo code (HERMES) simulating the propagation of UHE nuclei, in
the energy range between $10^{16}$ and $10^{22}$ eV, accounting for propagation
in the intervening extragalactic and Galactic magnetic fields and nuclear
interactions with relic photons of the extragalactic background radiation. In
order to show the potential applications of HERMES for astroparticle studies,
we estimate the expected flux of UHE nuclei in different astrophysical
scenarios, the GZK horizons and we show the expected arrival direction
distributions in the presence of turbulent extragalactic magnetic fields. A
stable version of HERMES will be released in the next future for public use
together with libraries of already propagated nuclei to allow the community to
perform mass composition and energy spectrum analysis with our simulator.
