Based on the AAA battery Storage Box, I decided to create a remix in order to store 16x (4x4) AA batteries instead. 

Additionally and based on the feedback provided by the comments on that original model, I also included some slight improvements, such as:

• Increased diameter for the batteries place holders (14.8mm instead of 14.7mm) to avoid being so tight or even getting trapped. Many people suggested to print at 101% or so, but I think it's better to increase the size in the model.
• Added material on the hinge joint to avoid breaking it when assembling.
• Reducing some material at the locking ball hinge so that it can be assembled with less force (although this creates some play at the hinge).

Obviously PETG is recommended, but I validated this idea just with PLA (see pictures).

I hope you can find this useful and nice! Thanks to @TheSameNameTwice for his Parametric Rugged Box design and ideas.