Kernel

Windows Exploit Suggester

Get system details:

systeminfo > systeminfo.txt

Execute the Windows Exploit Suggester:

python wes.py systeminfo.txt -i 'Elevation of Privilege' --exploits-only

Cross-check the results with known windows kernel exploits. If you don't find a match there, check searchsploit or exploit-db.

References

Windows Exploit Suggester

known windows kernel exploits

Watson - for newer Windows