14 Light Years * 186,000 Miles/Second * 3600 Seconds/Hour * 24 Hour/Day * 365.25 Day/Year = 82,175,990,400,000 Miles
So, 82.2 Trillion Miles
Even if we could get a probe (or swarm of probes) up to 1/2 the speed of light (a very big if), it would take 28 years to do a fly-by.