Methods are provided for producing Group II base stocks having high viscosity and also having one or more properties indicative of a high quality base stock. The resulting Group II base stocks can have a viscosity at 100° C. and/or a viscosity at 40° C. that is greater than the corresponding viscosity for a conventional Group II base stock. Additionally, the resulting Group II base stocks can have one or more properties that are indicative of a high quality base stock.