A clear, multilayer polymeric film that is desirable for thermoforming applications. The film in its various embodiments include two inner layers of nylon and/or a core layer of ethylene vinyl alcohol or ethylene vinyl alcohol copolymer sandwiched between the two inner nylon layers. The film can also contain two nylon layers which are bonded together via an adhesive layer and not contain a core layer of ethylene vinyl alcohol. The film also has an outer layer of a heat sealable polymer and may also have an outer layer of nylon. The film is coextruded, blown into a tubular shape, oriented, and cooled by the method of tubular water quenching. The film has various improved physical properties over the prior art, including properties of "memory", clarity, gloss and low haze.