Radiator question

I replaced the thermostat last night. I installed a 160 degree thermostat there was a 180 thermostat in there. I started and allowed to run with rad cap off I had my finger in rad to see when the thermostat opened and felt the warmer water / antifreeze mix. The thermostat housing registered 174-177 the bottom rad hose was 133-140 the top rad hose was around 170. I wanted to wait to install the new water pump until I get my auxiliary temp gauge from Amazon to see what temp the car is running at.

I can't thank everyone enough for reading and responding

Thank you