I think this doesn't occur very often, but if a tag badge has a very long name and it has been earned at least one year ago, and it shows up in the rare badges, then it doesn't fit, causing a bug:
Note: This is not my profile. I kept the picture as small as possible to protect the user's privacy.
I have looked around in long tags, and I found at least 15 other such cases, so it is not unique.
Proposed solution: If there is a tag badge with more then 20 characters that was awarded more than one year ago, make the rare badge frame of the particular badge type (bronze, silver, gold) larger.