You need to install Flashpoint (I personally use Flashpoint Infinity 11.1), you can do so right here: https://bluemaxima.org/flashpoint/downloads/
...And Newgrounds Player, from here: https://www.newgrounds.com/flash/player
Open Flashpoint and search up "Elephant Quest", you need to run it, start a new game, skip the intro and let the world map load. Then you close it, and reopen from Newgrounds Player using this link: https://www.newgrounds.com/portal/view/566862. Everything should work fine now.
Of course you can just play from Flashpoint, but at least for me, Newgrounds isn't as laggy.
Everytime you restart the PC, you have to do this again (open from Flashpoint first, then Newgrounds Player).
IF YOU WANT THE .SWF FILE, HEAD OVER TO RESOURCES. I don't recommend using .swf files because the borders are broken, but if that's still something you want, you'll find a link there.
Alternative Options:
(FLASH BROWSER) https://github.com/radubirsan/FlashBrowser
(FLASH GAME ARCHIVE) http://www.flashgamearchive.com/
(Y8 PLAYER) https://es.y8.com/download-app
o/ Let's get some runs going!