Yikes that sounds like such little water! 5 gals of water in a 14 pound grain bill seems like it would be a thick mash!
I'd recommend 1.5 to 2+ qts/#, in general, but mostly I'd recommend adding enough water that, after grain absorption and deadspace, you get half your pre-boil volume from your first and second runnings each.
As an example, for 11# of grain and 1 pint deadspace, shooting for 7.5 gallons of wort pre-boil:
7.5 gallons total ÷ 2 runnings) = 3.75 gallons per running
That means sparging with 3.75 gallons and mashin with 3.75 gallons plus the lost volume of:
(11# x 0.12 gal/# absorption) + 0.125 gallon deadspace = 1.445 gallons lost volume.
That means mashing in with 5.2 gallons, or 20.8 qt/11#, or 1.9 qt/#.
With 100% conversion, that should give you 80%+ efficiency and a nice thin mash to stir and run-off, but then If you were me, you'd be batch sparging.