The calculated distance (air line) between Tikrīt and As Sulaymānīyah is approximately 119 miles respectively 191 kilometers.
By car or train, the actual journey to As Sulaymānīyah is certainly longer, as only the direct route (as the crow flies) between Tikrīt and As Sulaymānīyah has been calculated here.
Air line (approximately)
191 kilometers
103 nautical miles