The invention relates to a foamed fluoropolymer, preferably a polyvinylidene fluoride (PVDF) structure, such as from Kynar® resins. The foamed structure is continuous self-supporting, sized, and has a dense skin. The foamed structure is manufactured in a process using foaming agents and nucleating agents. The structure is sized into a specific shape during the manufacturing process—requiring a good melt viscosity of the PVDF foam. In one process, a master batch containing the nucleating agent is used. The foamed article could be a sheet, film, profile, tube, pipe, article, rod foam-core structure, or other self-supporting shape. Foamed tubes, pipes, rods, sheets and conduit are especially useful. The foamed structure of the invention provides added value by being lighter weight, more flexible, and more impact resistant than a comparable non-foamed PVDF structure. It also has increased hysteresis, increased insulation properties, reduced dielectric constant, and increased compressibility.