Just place it in the sc2 folder and try running it.
If it fails to load up, then refer to the link above, and only download Patch 15. Patching in order is pointless unless you wanted to view older replays; so the single patch 15 will bring your editor most up to date.
Patch 16 I do believe was a small quick fix and not a full content update.
I do not know if this will function with any patches prior to the one the editor was released in.
However it's always worth the try nonetheless.
http://www.mediafire.com/file/njw2qiwtmmz/StarCraft%20II%20Editor.exe
Just place it in the sc2 folder and try running it.
If it fails to load up, then refer to the link above, and only download Patch 15.
Patching in order is pointless unless you wanted to view older replays; so the single patch 15 will bring your editor most up to date.
Patch 16 I do believe was a small quick fix and not a full content update.