Is there a Queue (PriorityQueue) implementation which is also a Set?

I'm looking for a PriorityQueue implementation which is also a Set.

The compareTo implementation if its elements must not have the requirement to be consistent with the implementation of equals.

Is there somewhere such a implementation for java?

Update: I implemented it now using a SortedSet as the internal collection. So I only had to implement the missing methods to satisfy the queue interface. I also forgot to mention that it also had to be a bounded queue, so it features a capacity and discards the last element of the set if capacity is reached.