A package (10a) for containing a medical device (12a) including a front sheet (14a) and a back sheet (15a) wherein each includes a top edge (18a, 23a), a bottom edge (19a) and opposed first (20a, 24a) and second side edges (21a, 25a), the sheets being sealed to each other by a peelable peripheral seal (26a), having a top seal zone (27a), bottom seal zone (28a), and opposed first (29a) and second side seal zones (30a), the sheets being separated to open the package by at least partially peeling the sheets apart along the first and second side seal zones; a first peel-stop (31a) located in the first side seal zone and a second peel-stop (32a) located in the second side seal zone of the peripheral seal, wherein the first and second peel-stops limit peeling of the first and second side seal zones of the peripheral seal.