It doesn't exist in appreciable amounts anywhere, that anyone knows of. Maybe you're confusing it with dark matter, which has only observed in distant galaxies (because it's only detectable -- to date -- by its gravitational effects).
Antimatter exists on earth. You're generating antimatter right now. One isotope of natural potassium (K-40) emits an antielectron in one in every 10^5 decays [1]. A typical meatbag has enough K-40 for 4,400 decays per second [2] (i.e., 4.4 kBq), so you're spontaneously emitting, on average, about 3 antielectrons per minute from this path.
[1] http://www.nndc.bnl.gov/chart/decaysearchdirect.jsp?nuc=40K&...
Out of curiosity, where does this come from?
The problem of finding the exact mechanism that gave us the matter-filled universe we observe today, with all the antimatter gone is an open question. There are a bunch of hypotheses, and experiments coming son to a large hadron collider near you will help physicists gather pieces of the puzzle.
I thought there were some theories that early-universe physics were very different from what they are now, though I'm not sure how that would help.
But that hardly changes the remarkable nature of anti-matter. A single grain of sand of anti-matter would be a sufficient energy source to power a Toyota Prius for an entire century. A chunk of anti-matter the size of an aspirin tablet could be used to create a bomb as powerful as a nuclear weapon or power 100 homes for a year.
Antimatter isn't free.