Any answer you see on this forum will only be speculation… In previous years it has always been towards the backend of the year. I don't believe that BA have announced officially that they will run it again yet (Though I stand to be corrected) That said its no secret BA have a big recruitment drive on at the moment which can only be a good thing for the industry.
Keep checking the website, and aviation press. Oh and without wishing to be sarcastic its the "Future Pilot Programme"… future Flyers was Virgin Atlantics cadet programme - if you're looking to apply you should probably get the name right
SBC