I realised something quite simple about this, the other description didn't help much on how to advance and at the beginning I was getting about 1-2 Power Bingos per day, and there are 2 methods I ended up using to finally get the achievement, with my penultimate day getting me 13 Power Bingos within the same 5 hours!
In case you're wondering, there are a maximum of 15 bingos on a board - 5 vertical, 5 horizontal, the four corners and two diagonals. To use this method you'll need a lot of time and patience, plus it helps if you're over about level 25.
What you need to do is work on them intelligently, and don't go on any location apart from France as this is the cheapest, the next thing is to work your way around the board - start across the middle using the star to make the first bingo being 4 numbers rather than 5. and work on at least
4 cards, if you can manage more, do, and if you have a load of money then go for the maximum you can and use the auto-complete as you'll get all 3 numbers available rather than risking it. And NEVER
use the Star powerup as it covers numbers and risks you not being able to get the power ball.
The next thing to do is to think about "extending" the bingo game after it finishes, if no numbers have appeared then feel free to extend a couple of times, but unless you're INCREDIBLY rich in the game, don't extend beyond that.
If you find that the boards only have 1 or 2 of the numbers available (put the left board onto the numbers, and if they're dark then they aren't on your cards), then don't bother to extend at all as it's a waste of money.
Using France as your location keeps the token cost down, and as long as you're level 25+ (or so) then the number of tokens per 4 minutes is high enough to keep you running for some time.
Once you complete the horizontal Power Bingo then work on the diagonals, again these need 4 numbers and help in the long run. Once these are complete you can do the end verticals which take 2 balls per side - this should give you 5 Power Bingos so far. The next 2 balls will complete another 2 lines on the horizontals either side of the middle... the final 6 balls can be completed in any order but these last 6 will complete the final 8 bingos.
Overall the complete 13 Power Bingos will take you 2-3 hours, meaning that you can't start any new ones until the 5 hours has expired... if I had used this technique before I started then I could have completed it in 3 blocks rather than the 5 or 6 it took me.
I would suggest that you only go for these when you have time to play continuously for several hours, trying when you only have 30 minutes or so won't get you very far and you might end up with none at all (if things don't go your way).
Good luck, it's a long haul,but it can be done with planning.