Not far down the M4 Eastbound.....certainly not walking distance!
I've walked from Hungerford to Swindon....6-7 hour walk.
Quite a pleasant route...along the K and A for a bit, over to Ramsbury, then some paths and a bit of quiet lane past teh enigmatic Lewisham Castle.....on to just past Snap and then a variety of routes back to Swindon.
I did a long one near to Barbury, but the old railway via Chisledon is decent and probably shorter and quicker.