A suitable feedstock for forming lubricant base oils is separated into at least a lower boiling portion and a higher boiling portion. The lower boiling portion is combined with a feed suitable for use as a fuels hydrocracking feed. The combined feed is hydrocracked and catalytically dewaxed in order to form fuels and Group II, Group II+, or Group III light neutral basestocks. The higher boiling portion of the feedstock is solvent processed in order to form Group I heavy neutral base oils and/or Group I brightstock base oils. The higher boiling portion of the feedstock can correspond to both a bottoms fraction and one or more additional fractions boiling above a fractionation cut point.