i know, many people will think there is zero chance that this could happen, ffxv were released 6 months ago. But i think that the work for the next entry could started already 2 years ago, i don't believe they waited for finishing part xv. SE is a big company with many developer teams, and this time could going all a little faster, wouldn't take the long time for ff xv for comparison (first it was for ps3 as versus, than they started all over again for the new generation as part xv). From last interviews like:
On Final Fantasy XVI
With Final Fantasy XV, Square Enix was able to fuse a setting that is both a modern and fantasy world in one. When it comes to main-numbered Final Fantasy games, the directors think of everything from scratch with each installment. That said, it doesn’t mean we’ll necessarily see a modern setting for Final Fantasy XVI. Hashimoto says that they haven’t made anything for Final Fantasy XVI yet, but to keep in mind that just because Final Fantasy XV has a certain setting, it doesn’t mean the next one will follow in the same way.
Hashimoto emphasizes the differences we’ve seen in main-numbered Final Fantasy titles by using VII, VIII, IX as examples on how we saw it go from a very steam punk cyber world in Final Fantasy VII and then back to more of a fantasy world in Final Fantasy IX. He says that this is something that directors might do on purpose to change things up for the series.
As far as the battle system goes, this is also something that is decided by the director, so it doesn’t necessarily mean Final Fantasy XVI will be more on the action RPG side as we’ve seen in Final Fantasy XV. Hashimoto says when they start work on a new Final Fantasy, they set the bar to make the ultimate fantasy of the generation with each installment. So if a director feels that a certain battle system would work best in the current generation, that’s the main system they’ll go with.
We know that the next entry could go in the direction like ff ix has gone. Maybe i'm too optimistic, but one thing is for sure, it would be one of the big e3 moments, if SE would all surprise us with a first trailer of the next entry of the mainline series.