Running the calcs in BeerSmith, it should have worked for your situation. But then, it's never worked for me either!
Assuming BeerSmith is correct and you hit 162, then your water was really at 185F.
Take it FWIW, but those infusion calcs never worked for me and I never found any better that did. Could be my boiling water was cooling quite a bit on the trip from the stove to the tun out on the back porch.
Sorry no real help.