The plan has been to gradually replace it with the new version of the software (which runs on Java 17), unfortunately this plan has been ongoing for 10 years and it's not gonna be done anytime soon.
Such are the sad realities of working on legacy code sometimes.
Sometimes the upgrade path from 6 onwards isn't as nice as it usually is from 8 up, especially if you built with some old undead libraries that require an heroic effort to understand well enough to reimplement. Takes a very special organisation to divert some person-years to pull it off, and as some middle or other manager it's highly unlikely to catch you a new, better job even if it goes well.
I do worry that there's "Y2K-esque" bugs hiding in Java 6 programs somewhere. I don't think java.util.date uses 32 bit integers for time so the 2038 problem probably won't be an issue, but I do wonder if there's other stuff hiding.
By now most types of issues ought to have popped up though, since it was so widely used for such a long time.