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The evolution of time resolution as a function of the irradiation level has been studied using non-irradiated SiPMs as well as SiPMs exposed up to 2 \u00d7 10<jats:sup>14<\/jats:sup> n<jats:sub>eq<\/jats:sub>\/cm<jats:sup>2<\/jats:sup> fluence.\nThe key parameters defining the module time resolution such as SiPM characteristics (gain, photon detection efficiency, radiation induced dark count rate) and crystal properties (light output and dimensions) are discussed.\nThese results have informed the final choice of the MTD barrel sensor configuration and offer a unique starting point for the design of future large-area scintillator-based timing detectors in either low or high radiation 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