How to implement PriorityBlockingQueue with ThreadPoolExecutor and custom tasks

I've searched a lot but could not find a solutuion to my problem.

I have my own class, BaseTask, that uses a ThreadPoolExecutor to handle tasks. I want task prioritization, but when I try to use a PriorityBlockingQueue I get ClassCastException because the ThreadPoolExecutor wraps my Tasks into a FutureTask object.

This obviously makes sense because the FutureTask does not implement Comparable, but how would I go on to solve the priority problem? I've read that you could override newTaskFor() in ThreadPoolExecutor, but I can not seem to find this method at all...?

Any suggestions would be much appreciated!

Some code to help:

In my BaseTask class I have

private static final BlockingQueue<Runnable> sWorkQueue = new PriorityBlockingQueue<Runnable>();

private static final ThreadFactory sThreadFactory = new ThreadFactory() {
    private final AtomicInteger mCount = new AtomicInteger(1);

    public Thread newThread(Runnable r) {
        return new Thread(r, "AsyncTask #" + mCount.getAndIncrement());
    }
};

private static final BaseThreadPoolExecutor sExecutor = new BaseThreadPoolExecutor(
    1, Integer.MAX_VALUE, 10, TimeUnit.SECONDS, sWorkQueue, sThreadFactory);

private final BaseFutureTask<Result> mFuture;

public BaseTask(int priority) {
    mFuture = new BaseFutureTask<Result>(mWorker, priority);
}

public final BaseTask<Params, Progress, Result> execute(Params... params) {

    /* Some unimportant code here */

    sExecutor.execute(mFuture);
}

In BaseFutureTask class

@Override
public int compareTo(BaseFutureTask another) {
    long diff = this.priority - another.priority;

    return Long.signum(diff);
}

In BaseThreadPoolExecutor clas