This packaging includes a grouping nest, a first tub, and a sealing cover. Lateral walls of the first tub are sloped to allow a nesting of this first tub in a second identical tub the first tub includes recesses on the outer side of the tub forming tub and/or nest supporting pillars on the inner side of each wall, and having a tub and/or nest supporting surface opposite the bottom of the tub. The positioning of the recess forming a tub supporting pillar on one opposed lateral wall is different from the positioning of the recess forming a tub supporting pillar on the other opposed lateral wall allowing nesting of this first tub into a second identical tub in a first relative position of the first tub, while allowing the stacking of said first and second tubs one onto the other in a second relative position of the first tub.
