NOVELTY - Co-producing base oil and diesel fuel from a vegetable oil, comprises: processing a triglyceride-containing vegetable oil to effect oligomerization and deoxygenation of unsaturated fatty acid components contained in it so as to provide an oligomerized mixture comprising oligomers; isomerizing the oligomerized mixture over an isomerization catalyst to yield an isomerized mixture, where the isomerized mixture comprises a base oil component and a diesel fuel component; and distilling the isomerized mixture to yield a base oil and a diesel fuel.    USE - The method is useful for co-producing base oil and diesel fuel from a vegetable oil.    ADVANTAGE - The method has the ability to generate multiple product streams, thus economical.    DETAILED DESCRIPTION - Co-producing base oil and diesel fuel from a vegetable oil, comprises: processing a triglyceride-containing vegetable oil to effect oligomerization and deoxygenation of unsaturated fatty acid components contained in it so as to provide for an oligomerized mixture comprising oligomers, where the processing comprises catalytically oligomerizing at least some of the unsaturated fatty acid components to provide for an initially oligomerized mixture comprising at least some of the oligomers contained within the oligomerized mixture, hydrotreating the initially oligomerized mixture to provide a hydrotreated oligomerized mixture, and removing water from the hydrotreated oligomerized mixture to yield the oligomerized mixture; isomerizing the oligomerized mixture over an isomerization catalyst to yield an isomerized mixture, where the isomerized mixture comprises a base oil component and a diesel fuel component and the isomerized mixture comprises at least 10 wt.% alkanes having a carbon number of greater than or equal to 30; and distilling the isomerized mixture to yield a base oil and a diesel fuel. An INDEPENDENT CLAIM is also included for a system (200) for co-producing base oil and diesel fuel from a vegetable oil, comprising: a processing subsystem (201) for processing the triglyceride where the processing subsystem comprises an oligomerization reactor for catalytically oligomerizing at least some of the unsaturated fatty acid components, a hydrotreating reactor, in downstream fluid communication with the oligomerization reactor, for hydrotreating the initially oligomerized mixture, and a water removal subunit, in downstream fluid communication with the oligomerization reactor, for removing water from the hydrotreated oligomerized mixture; an isomerization unit (202), in fluid communication with the processing subsystem, for isomerizing the oligomerized mixture; and a distillation unit (203), in fluid communication with the isomerization unit, for distilling the isomerized mixture.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic illustration of a system.    System (200)    Processing subsystem (201)    Isomerization unit (202)    Distillation unit (203)    Hydrofinishing unit (204)