Summary

UPDATE:

So after using it intensively more than half a year, I noticed that top layer of the "bottle" started to peal off layers, and the "lid" did not hold on to it any more. So I decided to completely redesign the lid, and add a locking mechanism, to ensure the box stays shut, even if it starts to break.
I'm very pleased with new design, it came out smaller and more elegant. I removed a lot of unnecessary material from the rubber part, which made it much easier to put on the box. In case if the TPU ring on the lid is too loose, it's possible to glue it with just a super glue

So far the model is fixed size, but if anyone will be interested, I can (hopefully) make it parametric

Glasses box, that I designed around my own frame, but maybe will fit someone too. I'd say it was largely inspired by https://www.thingiverse.com/thing:335285 but I wouldn't call it a remix, as I designed it from the ground up, as my goal here was to design symmetrical shape, and a shape that wouldn't touch the lenses in any circumstances, but only the frame, not to damage lenses coating.

I printed the part that holds the lid out of DevilDesign TPU, and it turned out to be perfect for that.