Tiny URL that randomly opens a URL from list of URLs?

I'm trying to create a tiny URL that, when clicked, redirects to a randomly selected URL from a pre-determined list of URLs. I know I can achieve this server side with HTML and Javascript, but I want it to function purely from a tiny URL.

Basically how http://ift.tt/2vGPBkS does it, but with no host restrictions or URL limit.

I'm pretty much lost with where to begin, and surprised that this doesn't already exist. Is it simply impossible to make for reasons beyond my understanding? I'm still relatively new to the dev world and might not fully grasp the complications involved with this.

Thanks in advance.