A storage stack for storing sample containers in a low temperature sample store, each storage stack includes first and second rigid lateral support flanges including a multitude of storage webs for supporting sample containers; a rigid back panel; a rigid bottom plate; and a rigid insulation cover. The insulation cover includes a handling plate and an insulation block. A number of insulation covers of all storage stacks of a storage stack array form an essentially continuous insulation layer on a storage area of the low temperature sample store. For all storage stacks, carrying elements are provided that statically connect the bottom plate of each individual storage stack with a bottom structure of the storage area, carry the entire weight of the individual storage stack and all sample containers inserted therein, and confer this entire weight to a bottom structure of the storage area of the low temperature sample store.