GNU/Linux Mint Installing New Kernel – Step by step Guide
How to Install a New Complete Kernel Release on Mint GNU/Linux desktops – Step by step Tutorials.
And to Install Linux Kernel on Mint you have 2 choices:
Basic: Install a Prebuilt Kernel Image
Advanced: Download, Compile and Install Kernel
Especially relevant: prior to a Kernel Update you may follow the below instructions about How to Upgrade Mint.
Finally, the Guide include also instructions about How to Install Linux Kernel Headers for Mint.

1. Upgrading Mint
So to Upgrade Mint System
First, Update the Apt Repo Sources with:sudo apt update
Authenticate with the User Admin Pass.
If Got “User is Not in Sudoers file” then see: How to Enable sudo.
And then play:sudo apt upgrade
How to QuickStart with Command Line on Mint GNU/Linux
Next Reboot with:sudo reboot
Possibly to Check the current Kernel version:uname -r
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