In this manuscript we present a novel concept for the detection of relativistic neutrons (between 100 MeV and 1 GeV) based on Resistive Plate Chambers (RPCs). Its principle relies on the detection of charged particles created in hadronic showers induced by the incoming neutrons on the detector constituent materials. The presented design solely considers glass plates as converters for neutron detection while simultaneously delimiting the active gas. For the optimization of a large area detector based on RPCs, simulations using the Virtual Monte Carlo framework FairRoot have been performed. The resulting detector is designed using timing RPC modules, each with 5 gas gaps, that are sequentially grouped, reaching an efficiency for one neutron detection higher than 90%. We show a systematic study on the counter performance as a function of the thickness of the glass plates, and present the design of a prototype to be tested with quasi-monoenergetic neutrons of energies ranging between 200 MeV and 1.5 GeV in the upcoming future.