Is it possible for photon to run in circle by its own gravity?

I have heard that gravity came from energy and momentum so photon has gravity too.

Then there are theory state that photon has energy tied to frequency.

So if a photon has very very high frequency to the point that its gravity can affect normal photon and has a chance to bend its path slightly, it would get caught by its gravity, and maybe, it would run in looping path or circle.

Or if those kind of photon crossing each other it would trap each another and run in circle like two star swinging around.

I have guess that it actually exist and it maybe a fundamental particle we know.

Or not?