Images of the Proxima Centauri system;
Proxima Centauri A has a few potentially-colonisable, although mid-high colony cost, worlds in the event a ship could actually reach them; the LP that my ship was trying to reach is around 300 billion km from the jump point (that's the orbital distance of its parent Super Jovian, at least). At the time my ship tech was still fairly low, and I probably wouldn't even have made it out of the hyper limit.
And this is the picture of the whole system. The system has a fair number of worlds and moons that might conceivably hold NPRs, of either the oxygen or methane-breathing flavours, but if they do exist they'll probably run out of minerals before getting out of their own star system :p
Proxima Centauri B has a listed orbital distance of 19600, which I believe is measured in AUs - the distance between the Earth and its primary. This is listed in game as 150m km, so... (*presses buttons on calculator*)... about 2.9 trillion km, if I'm calculating it correctly. With the LPs (both stars have at least one Super Jovian in orbit) ship travel is possible, eventually, but I think I'll just go explore Tau Ceti instead to be honest. Maybe send a few ships out to the sub-2.00 colony cost world (not visible in the picture - Proxima Centauri B-II) to form a secondary base of operations in case aliens kill or enslave the rest of humanity... hmm.
Just to make matters worse it looks like there's some sort of galactic Neutronium shortage - besides the initial amount on Earth and a fair-sized deposit on Mercury, there's pretty much none to be found. Geosurveys of (nearly) every meaningful planet and moon have been conducted, but it's looking like we'll need to explore a little faster than intended - there's about 30k units on Pluto, but once that's gone our shipbuilding ability will soon follow. There's reports of a huge deposit (11m units, albeit at 0.3 accessibility) in a neighbouring system though, so the race is on to get a secure (and large) mining colony established there before it's too late.