Brenda Brenda:
$1:
and is currently just over 14bn km from Earth.
JUST??

Like it is nothing!

Stories like this are always humbling

Indeed, only 41.486 trillion kilometers to go until it reaches the closest solar system to our star! Or a little over 277,500 AU (1 AU is the average distance from the sun to Earth). The soonest "flyby" of one of our currently active probes to a system will take approximately 40,000 years, if I remember correctly, with Voyager 1 and a few light-years of the constellation Camelopardalis (which is near our "Northern Star," Polaris).
I'm actually following two projects right now, TSSM and IBEX. TSSM is besides the topic of this thread, but IBEX is using a probe called New Horizons, which is set to leave the solar system sometime in 2029. It will never overtake either of the Voyager probes but will eventually overtake both of the Pioneer probes, neither of which have encountered the heliopause (and both of which are out of contact with us anyways) either. Both Voyager probes will encounter it, hopefully, before the missions likely ends in the early to potentially mid 2020s.
Proposed probes which would go outside of the solar system have not been approved as of yet, as far as I know. Many of these would have potentially many times the speed that Voyager 1 currently has, which is over 61 thousand kilometers per hour, 17 kilometers per second, or 3.6 AU a year (all approx. values). Some of these included plans for ion engine technology support by nuclear energy production.
I'm, uh, a bit of a space dork. For the record, the Oort cloud is not near where we would hope the edge of our solar system would be, since it's estimated to be 50,000 AU away from us (science fiction has made it sound closer than it is -- if we have two balls, one the sun and one the Earth, a meter away, or about three feet, you'd have to drive 50 kilometers to get to the balls representing the Oort cloud). The Kuiper belt, on the other hand, is only 30-55 AU away from the sun, but is well within the solar system. All four of our probes (Voyager 1 and 2, Pioneer 1 and 2) which are headed for interstellar space are well beyond the Kuiper belt and have been for a few years, although some objects do extend to around 100 AU in their orbits so it's possible you did read something about that. IBEX still has missions within the solar system which the New Horizons probe won't even begin until 2015.