From looking at the specs, it looks like not only can that charger handle a 10s5p pack, but it can actually do much more. At 15A of charging, that could be 3A per cell if you use the highest power setting. Most Li-ion 18650 cells are rated for a max of 1-1.5A charging per cell. So just make sure you don't charge your pack with too high of a current setting. I'd personally stick to 5A max, so each cell group gets 1A per cell.
Thanks Micah, I guess I would need to make sure I don't starve it then on the input side. Looking at the Spec-Sheet for my cells:
Standard Charge: 1.0A
Rapid Charge: 4.4A with Tolerance
1.0 would be sufficient for my needs.
Using Revolectrix calculator, charging my 10s pack to 80% at 2A would need a min of 12v pushing 9A to feed the charger.