Fundamentally, the problem here is voltage drop across the rather lengthy cable. That's not a new problem, there are lots of good solutions. Just paralleling more too-small wires is not one of them. The best solution, as recommended several times here by multiple people (including me), is to run a higher voltage over the distance and regulate locally to the load. Not only will this address the voltage drop problem, it will also give you far better regulation performance, lower supply noise, etc. You need to remove that 14 feet of thin wire (yes, twice your seven feet, the *circuit* goes out AND back, remember!) from your "regulated" environment.