In a Rayovac Application Note entitled "OEM Application Notes &
Product Data Sheet -- Primary Batteries—Alkaline, & Heavy Duty", there is a graph on page 4 which lists the expected service life for various continuous mA drains of the battery. For the #815 AA Alkaline battery (dotted red line), the graph shows that you should be able to draw 1.5A for 0.7 hours or about 40 minutes, well beyond the 10 minutes you need.
Note that you can probably expect the voltage to drop to 1.2v fairly rapidly, since the internal resistance is around 120 mΩ so you will lose 0.18v just to that. The voltage will continue to drop down to below 1.0v at the end of the 10 minute period. So you will need more than 7 batteries if you require 10v for the entire 10 minutes.
Here is the link for the Rayovac datasheets