The calculated distance (air line) between Caerphilly and Stoke-on-Trent is approximately 108 miles respectively 174 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 Caerphilly and Stoke-on-Trent has been calculated here.
Air line (approximately)
174 kilometers
94 nautical miles