An overwrap container includes a base container having a first side seam on a side wall that extends along a longitudinal axis to define an internal volume, and a bottom connected to the side wall. An overwrap is positioned over the side wall of the base container and has a second side seam aligned longitudinally with the first side seam. Connecting elements are positioned between the side wall of the base container and the overwrap, and join the side wall of the base container and the overwrap together except in an area along the aligned first and second seams to define an uniform spacing extending continuously between the side wall and the overwrap forming an air gap there between.