The section below gives an example of a correct command to use to re-insall Grub2 on newer versions of Grub such as you have with Mint18. This output example would be for a system which has Mint installed on partition 'sda5' so you would have to change that to the correct entry. If you don't know what that is you can run either of the commands below from a terminal on the Mint DVD after booting it. The output from these commands should tell us whether you are using UEFI.
OR
That's a lower case Letter L in both commands.
Quote:
sudo mount /dev/sdXY /mnt # Example: sudo mount /dev/sda5 /mnt
sudo grub-install --boot-directory=/mnt/boot /dev/sdX # Example: sudo grub-install --boot-directory=/mnt/boot /dev/sda
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The link below has detailed information on re-installing Grub2 by various methods.
https://help.ubuntu.com/community/Gr..._Broken_System
If you have problems understanding this, you could go to the site below and download boot repair using the Mint DVD per the instructions on the page or download it to another system and burn it as an image to a CD, then either run it from Mint or boot the computer with the CD set to first boot priority. When boot repair starts, follow the instructions on the page. I would suggest you select the option to "Create BootInfo Summary" and post the link you get after running it here at the forums as this will provide details on your system which should help someone to help you.
https://help.ubuntu.com/community/Boot-Repair