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IT based timer period

Hello,

I would like to have timer interrupts every 10 minutes for temperature readings. Also, I would like to have opportunity to change this period in the code. How could such long period be implemented? Are there any examples? 

The maximum period I can enter is 65 536 ms (2^16) which is 65.536 seconds. If I enter for example 70 000 then timer interrupts every 5 seconds.
How could I set period to 10 minutes (600 000 ms)? MCU works at maximum 32 MHz.

Thank you.