Parse huge amounts of files efficiently

I have a folder that holds hunderds of thousands of files called hp-temps.txt. (There are also tons of subfolders) The content of these files looks like this for example:

Sensor   Location              Temp       Threshold
------   --------              ----       ---------
#1        PROCESSOR_ZONE       15C/59F    62C/143F 
#2        CPU#1                10C/50F    73C/163F 
#3        I/O_ZONE             25C/77F    68C/154F 
#4        CPU#2                32C/89F    73C/163F 
#5        POWER_SUPPLY_BAY     9C/48F     55C/131F

I need to parse through all the files and find the highest entry for the Temperature in the #1 line. I have a working script but it takes a very long time, and I was wondering, if there is any way to improve it. Since I'm rather new in Shell Scripting, I imagine this code of mine is really inefficient:

#!/bin/bash
highesetTemp=0
temps=$(find $1 -name hp-temps.txt -exec cat {} + | grep 'PROCESSOR' | cut -c 32-33)
for t in $temps
do
  if [ $t -gt $highestTemp ]; then
    highestTemp=$t
  fi
done

**EDIT:** There has been a very efficient code but I forgot to mention that I not only need the biggest value. I would like to be able to loop through all the files, since I'd like to output the directory of the file and the temperature whenever a higher value is detected. So the output could look like this for example:

New MAX: 22 in /path/to/file/hp-temps.txt
New MAX: 24 in /another/path/hp-temps.txt
New MAX: 29 in /some/more/path/hp-temps.txt