"Show historical versions of Minecraft: Java Edition in the Launcher" is checked. Installations tab and click New Installation Look through the version dropdown for old_alpha a1.0.16
These launchers allow you to create custom instances. You can manually download the files for Alpha 1.0.16_02 from safe databases like the Omniarchive Minecraft Java Alpha 1.0 16 02 Download
The standard launcher only natively hosts broader releases like old_alpha a1.0.16 . To search for the exact Minecraft Launcher and ensure the box for "Show historical versions of Minecraft: Java Edition in