The invention describes a blown foil system for producing a foil web with at least one extruder for providing a melt-like plastic, a blowing head with a circumferential die gap, with which the melt-like plastic can be transformed into a foil bubble emerging from the die gap, with at least one liquid cooling device for cooling the foil bubble, wherein a liquid can be supplied to the outer periphery and/or to the inner periphery of the foil bubble by means of the liquid cooling device, with a flat laying device by means of which the foil bubble can be formed into a double-layer foil web, wherein the two layers are in contact at least partially and in particular substantially over the full surface, and with at least one stretch unit for stretching the foil web in the longitudinal direction.