Converting 3 way switched circuit to 4 way switched

I want to add a 3rd switch to my basement lighting circuit.

Currently there are two switches with 14/3 running from them to a junction box. In this same junction box is the 14/2 feed, and another 14/2 going out to the first light.

I know I need a 4 way switch, but what should I use to wire it? Two runs of 14/2 and just color the wires or is there such a thing as 14/4? I've never seen it in stores.

I'm sure I'm going to get confused once I get into that junction box. I've seen a million diagrams but they're all daisy chaining outlets and putting the 4 way in the middle. So any advice/tips there would be great!

 

The first thing you are going to need to do is replace the box with all those cables with a much larger box.

There is a way to do this by adding one xx-3 cable to the new switch location. You will wire one switch as a deadend 3w.