How to get 4022lm from a CREE XHP70

Typical autmotive voltage regulator cuts-out around 14.6v (if I recall correctly). Chart below (source linked in pic) by Djozz shows about 11.5 amps at around 7.3ish volts (emitter wired 2S2P). So your emitter could have been producing over 4K lumens if it was properly heat sinked.