Anupc’s suggestion seems a good one.However the UK PlayStore has quite a few recent “Used to work OK but they have changed something and it no longer works on my …X” user reviews . So it looks a bit like a suck it and see option.
This is one of the inherent compromises with portable devices as blanking the screen is a battery saving strategy. I have a couple of Android devices of differing manufacture yet that 10 min max timeout setting seems to be standard. Ideally there should be an option to enter a delay of your choosing.
I also use an i-pad and in this case there is no auto timeout as there is an “Always Allowed” setting. However the screen shuts down as soon as you close the devices’ cover ( if you use one) and you need to sign in again when you reopen it . The alternative is not to use the cover, however then you find yourself with a need to recharge the tablet more frequently. Life’s a bitch