As several people have pointed out, your performance is very slow. Add to that the fact that this piece is so famous and it's easy to see why people are expecting more speed.
But here's what I REALLY like, as a teacher. You are playing within your limits, now, and there are a great many expressive ideas that are already working. I would NOT speed it up, not one bit— not now. Play it just as you are, continue shaping it. If you can, imagine it faster in your mind, and plan how you would like to shape it at a faster tempo. But don't force it now.
There is a great deal to be said for playing something under tempo and working on ideas. Most people who are at the point that I judge you to be at, at this moment, would push beyond their present abilities and would blur, fake and even lose dynamics through pushing the tempo too soon. Your playing is honest, clean, and we can hear all the notes. You have good ideas, so it is not mechanical sounding.
You might put it away soon, take it out every few months, after playing many other things, to see if advances you make in other literature can be transferred to this piece, later. I do agree that you need more tempo. I just disagree about attempting to make this happen at the present time. You have the rest of your life to accelerate fast pieces. One point to keep in mind: you always need a good teacher to make sure that the movements you are using at a reduced tempo are going to work later on. I assume you have a good teacher. Few people play as well as you do at your age without excellent instruction. (Almost none…)
By the way, you have all the power you need, if you can keep it and accelerate the piece with the same energy (later) without cramping or tightening, you'll have great passion, but I fully agree with the idea of concentrating on lightening up whatever is harmonic but not part of melody or counter-melody. This will do two things immediately: first, when you accent heavily in the climaxes, it will have more "punch" (contrast), and it may immediately give you a bit more tempo (without even trying for it), because you can relax the hands more when you choose your "moments".

Well done. I enjoyed it!
Gary