Turbo draws slightly over 3 amps and high only 1 amp on each cell in it’s 2S2P configuration. My battery choices would be;
Sanyo/Panasonic NCR18650GA 3500mAh - Button Top
Samsung INR18650-35E 3500mAh - Button Top
These are quality cells and protected or not is your call. Any other cells with 15-40 amp draw capacity is only going to lower your run time, as they have lower capacities.