NOVELTY - Method comprises: processing a triglyceride-containing vegetable oil to effect oligomerization of unsaturated fatty acid components contained in it; isomerizing the obtained oligomerized mixture over an isomerization catalyst to yield an isomerized mixture; stripping the isomerized mixture of water to yield a dry isomerized mixture; separating the dry isomerized mixture into a lower boiling fraction from which diesel fuel is subsequently derived, and a higher boiling fraction; and subsequently further isomerizing at least a portion of the higher boiling fraction to yield a base oil.    USE - The method is useful for processing triglyceride-containing, biologically-derived oils to provide base oils and transportation fuels.    ADVANTAGE - The method and system are efficiently processing vegetable and/or crop oils into a broader range of fuel types and lubricants. The method is economical and generates multiple product streams.    DETAILED DESCRIPTION - Method comprises processing a triglyceride-containing vegetable oil to effect oligomerization of unsaturated fatty acid components contained in it so as to provide for an oligomerized mixture; isomerizing the oligomerized mixture over an isomerization catalyst to yield an isomerized mixture comprising a base oil component and a diesel fuel component; stripping the isomerized mixture of water to yield a dry isomerized mixture comprising at least 10 wt.% of alkanes having a carbon number of greater than or equal to 30; separating the dry isomerized mixture into a lower boiling fraction from which diesel fuel is subsequently derived, and a higher boiling fraction; and subsequently further isomerizing at least a portion of the higher boiling fraction to yield a base oil. An INDEPENDENT CLAIM is included for a system (200) for producing diesel fuel and base oil from vegetable oil, comprising: a processing subsystem (201) for processing a triglyceride-containing vegetable oil so as to effect oligomerization of unsaturated fatty acid components contained in it, to provide for an oligomerized mixture; a first isomerization unit (202) for isomerizing the oligomerized mixture so as to yield an isomerized mixture; a stripper (201c) for stripping the isomerized mixture of water so as to yield a dry isomerized mixture; a separation unit for separating the dry isomerized mixture into a low boiling fraction from which diesel fuel is subsequently derived, and a high boiling fraction; and a second isomerization unit for subsequently further isomerizing the high boiling fraction to yield a base oil.    DESCRIPTION OF DRAWING(S) - The figure shows a system for producing diesel fuel and base oil from vegetable oil.    System (200)    Processing subsystem (201)    Stripper (201c)    Isomerization unit (202)    Hydrofinishing unit. (204)