Provided herein are methods and systems of making a high quality isoparaffinic base stock which include contacting an adsorbent material with a hydrocarbon feedstock and a solvent and separating at least some of the one or more high VI components from the hydrocarbon feedstock to produce a first fraction base stock having a first fraction base stock viscosity index. The adsorbent material is desorbed with a second solvent to produce a second fraction base stock having a second fraction base stock viscosity index. In these methods, the first fraction base stock viscosity index is less than the hydrocarbon feedstock viscosity index and the second fraction base stock viscosity index is greater than the hydrocarbon feedstock viscosity index.