This packaging (1) comprises a grouping nest (5), a tub (6), hereinafter named "first tub (6)", and a sealing cover. According to the invention, - lateral walls of said first tub (6) are sloped to allow a nesting of this first tub (6) in a second identical tub (6) - said first tub (6) comprises recesses (35, 45, 55) 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 (31, 32, 41 51) opposite the bottom of the tub, • the positioning of the recess (35) forming a tub supporting pillar (30) on one opposed lateral wall is different from the positioning of the recess (35) forming a tub supporting pillar (30) on the other opposed lateral wall in order to allow the nesting of this first tub (6) into a second identical tub (6) in a first relative position of the first tub, while allowing the stacking of said first and second tubs (6, 6) one onto the other in a second relative position of the first tub.
