Another idea is to use single-letter codes, with a key at the bottom of the page - M for mod only, L for locked, P for private replies only, etc. But that may not be enough information (e.g. if M, you still don’t know if it’s replies by mods only; if D for duration, yoh don’t know the duration; etc). So another idea is to give non-mods ability to click on each tag to see a detailed page, similar to what mods have but without edit capability.
I'm not sure what form the implementation would take, but if all are visible, this would be a perfect place for Tooltips!