The calculated distance (air line) between Bargoed and Stoke-on-Trent is approximately 101 miles respectively 163 kilometers.
By car or train, the actual journey to Stoke-on-Trent is certainly longer, as only the direct route (as the crow flies) between Bargoed and Stoke-on-Trent has been calculated here.
Air line (approximately)
163 kilometers
88 nautical miles