What is the latest operating system that my 2016 13in MacBook Pro can run?

macOS Monterey 12.7.4. See the following from Identify your MacBook Pro model - Apple Support

MacBook Pro (13-inch, 2016, Four Thunderbolt 3 ports)

Colors: Silver, space gray

Model Identifier: MacBookPro13,2

Part Numbers: MLH12xx/A, MLVP2xx/A, MNQF2xx/A, MNQG2xx/A, MPDK2xx/A, MPDL2xx/A

Newest compatible operating system: macOS Monterey

Tech Specs: MacBook Pro (13-inch, 2016, Four Thunderbolt 3 ports)

User Guide: MacBook Pro (13-inch, 2016, Four Thunderbolt 3 ports)

MacBook Pro (13-inch, 2016, Two Thunderbolt 3 ports)

Colors: Silver, space gray

Model Identifier: MacBookPro13,1

Part Numbers: MLL42xx/A, MLUQ2xx/A

Newest compatible operating system: macOS Monterey

Tech Specs: MacBook Pro (13-inch, 2016, Two Thunderbolt 3 ports)

User Guide: MacBook Pro (13-inch, 2016, Two Thunderbolt 3 ports)

and the following from Apple security releases - Apple Support

Apple security updates and Rapid Security Responses

Name and information link Available for Release date

macOS Monterey 12.7.4 macOS Monterey 07 Mar 2024