Because this is an "old alpha" version, it does not appear by default in the modern Minecraft Launcher. You can access it through the following methods:
They called it Alpha 1.0.16_02 because names mattered little in those first days — only the world did. Minecraft Java Alpha 1.0 16 02 Download
Go to , create a new one, and select old_alpha a1.0.16_02 . Because this is an "old alpha" version, it