The calculated distance (air line) between Aş Şuwayrah and Tikrīt is approximately 133 miles respectively 214 kilometers.
By car or train, the actual journey to Tikrīt is certainly longer, as only the direct route (as the crow flies) between Aş Şuwayrah and Tikrīt has been calculated here.
Air line (approximately)
214 kilometers
115 nautical miles