This is exactly what Twitter's "moments" feature is for, I'd be surprised if it wasn't featured there at one point.
Doing a Google search for "twitter moments" results in the about page, again with no info on how to access the feature. This is followed by some news articles saying moments has been replaced by an "explore" tab, which I again can't find.
No wonder twitter is going down the drain. :-(
If you're signed in and don't see it perhaps when Moments first came out a couple years ago you installed one of the various addons to hide it and don't remember it?