Where in Universe does time move faster than it moves on Earth?

See the wiki article on time measured at GPS satellites. It's at http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps.html

To have time go slower just climb up the earth's gravitational well. Go up to the GPS satellite orbits and general relativity has it that time will go faster, I.e., the GPS clocks go faster than the ones at the earth. It is a small effect, 45 microseconds per day difference. Actually, because the satellites are moving with respect to us, Special Relativity says time is slower by 7 microseconds per day. Subtract the two and the bottom line effect is 45-7 = 38 microseconds per day faster than clock on earth. Yes, austronauts, if high enough, age more than we do on earth. The GPS system adjusts the time to take this into account and give us time on earth.

Go further out, not towards the Sun, and it'll be a bit faster. But not that much more, another small effect.

The effects are pretty small, our gravity is just not much, from a relativistic or cosmological point of view. Or even including the Sun, where we are. There are some large regions of the universe with (for maybe random reasons or maybe not yet clear reasons) a lower density of matter, by more than is expected. Called voids or supervoids. Gravity will be less there, and time will tick faster also. Still by a small amount, nothing big.