The calculated distance (air line) between Carryduff and Stoke-on-Trent is approximately 184 miles respectively 296 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 Carryduff and Stoke-on-Trent has been calculated here.
Air line (approximately)
296 kilometers
160 nautical miles