Let me know if this helps. There's a small chance that there may be additional ways to recover if you deleted the photos over 30 days ago.
I hate to say it, but permanently deleted means exactly that. If you were not backing up the data, then it is gone. I know this is not very helpful, and I wish I had a better answer for you. You might want to think about transferring your images to your computer periodacally as then they are in 2 places so they can be saved. I personally lost a device by leaving it on a bus, and lost all of my vacation photos because of this, so now I try to get any photos that are important to me onto my computer every now and again.
In the future, think twice before deleting things on your device!