In the standard picture of galactic cosmic rays, a diffuse flux of high-energy gamma-rays and neutrinos is produced
from inelastic collisions of cosmic ray nuclei with the interstellar gas. The neutrino flux is a guaranteed signal for
high-energy neutrino observatories such as IceCube, and first evidence was recently found. In gamma-rays, the LHAASO experiment also recently reported on the measurement of diffuse gamma-rays up to 1 PeV in energy. The measurements of these fluxes
constitute an important test of the standard picture of galactic cosmic rays. Both the observation and non-
observation allow important implications for the physics of cosmic ray acceleration and transport. We present
CRINGE, a new model of galactic diffuse high-energy gamma-rays and neutrinos, fitted to cosmic ray data from
AMS-02, DAMPE, IceTop as well as KASCADE. We discuss the uncertainties for the predicted emission from the
cosmic ray model, but also from the choice of source distribution, gas maps and cross sections and consider the
possibility of a contribution from unresolved sources. We find the overall uncertainty on the emission to vary
between $10\%$ and $30\%$ at energies below 10 TeV and up to $50\%$ above, with the uncertainty from the fit to CR data
dominating in this energy range. The contribution from unresolved sources can potentially be of the same order of
magnitude as the truly diffuse flux and can lead to significantly harder spectra. We compare the prediction of the CRINGE model with the recent data from LHAASO and IceCube and comment on the implications. Our fiducial model
and cosmic ray spectra are publicly available under https://doi.org/10.5281/zenodo.7859442.