The present invention relates to a process for blow molding a polyethylene container comprising the steps of: a) providing a solid preform made from a polyethylene material having a melt flow index from 0.01 to 10.0 g/10 minutes, wherein the preform comprises a neck region, side walls and a base region, and wherein the side walls between the neck region and the base region have substantially straight and parallel outer walls; b) reheating the preform so that the maximum temperature difference between the hottest and coldest regions of the side walls and the base region of the reheated preform is less than 4° C.; c) transferring the reheated preform to a blow mold; d) stretching the preform at a pressure below 10 bars; and e) increasing the pressure within the reheated preform so as to cause the walls of the stretched preform to expand to the shape and dimensions inside the blow mold. A polyethylene container made according to the present invention preferably has a minimum wall thickness of the container of less than 200 micrometers, and a weight to volume ratio of the empty container of less than 50 grams per liter.