Method for producing a packaging laminate comprising the steps of - co-extruding a first laminate layer consisting of a substrate layer made of at least 60 wt.%, preferably at least 70 wt.% and very particularly preferably at least 80 wt.% polyethylene and 5 to 30 wt.%, preferably 15 to 25 wt.%, cavitating agent, a connecting layer and a barrier layer consisting of a barrier polymer, preferably polyamide or ethylene vinyl alcohol copolymer, having a thickness of at most 20% of the overall thickness of the first laminate layer, wherein the connecting layer is arranged between the substrate layer and the barrier layer and the substrate layer has a multilayer structure with a polyethylene layer cavitated with a cavitating agent, which is either connected on one side to a non-cavitated polyethylene layer, whereas the cavitated polyethylene layer faces the second laminate layer, or is connected on both sides to a non-cavitated polyethylene layer, - stretching the co-extruded first laminate layer, - co-extruding a second laminate layer having a polyethylene proportion of at least 80 wt.%, wherein the second laminate layer has a multilayer structure with a cavitated polyethylene layer which is either connected on one side to a non-cavitated polyethylene layer, whereas the cavitated polyethylene layer faces the first laminate layer, or is connected on both sides to a non-cavitated polyethylene layer, - stretching the co-extruded second laminate layer, - connecting the stretched first laminate layer to the stretched second laminate layer, wherein the second laminate layer is connected to the barrier layer of the first laminate layer. - co-extruding a first laminate layer consisting of a substrate layer made of at least 60 wt.%, preferably at least 70 wt.% and very particularly preferably at least 80 wt.% polyethylene and 5 to 30 wt.%, preferably 15 to 25 wt.%, cavitating agent, a connecting layer and a barrier layer consisting of a barrier polymer, preferably polyamide or ethylene vinyl alcohol copolymer, having a thickness of at most 20% of the overall thickness of the first laminate layer, wherein the connecting layer is arranged between the substrate layer and the barrier layer and the substrate layer has a multilayer structure with a polyethylene layer cavitated with a cavitating agent, which is either connected on one side to a non-cavitated polyethylene layer, whereas the cavitated polyethylene layer faces the second laminate layer, or is connected on both sides to a non-cavitated polyethylene layer, - stretching the co-extruded first laminate layer, - co-extruding a second laminate layer having a polyethylene proportion of at least 80 wt.%, wherein the second laminate layer has a multilayer structure with a cavitated polyethylene layer which is either connected on one side to a non-cavitated polyethylene layer, whereas the cavitated polyethylene layer faces the first laminate layer, or is connected on both sides to a non-cavitated polyethylene layer, - stretching the co-extruded second laminate layer, - connecting the stretched first laminate layer to the stretched second laminate layer, wherein the second laminate layer is connected to the barrier layer of the first laminate layer.