I printed a model where the eggs are loaded from the top, but I discarded it after several eggs broke.
In my model, the eggs are loaded from the back, inserting them into a hole.
Therefore, the freshest eggs will always be the first to be consumed.
The container can be placed on either the left or right side of the refrigerator.
This model is modular in the center and is closed by a base and a lid.

The total height includes both the base and the top closure.
6 eggs, 86 mm high
12 eggs, 156 mm high
18 eggs, 226 mm high