The calculated distance (air line) between Balkanabat and Āq Qāyeh is approximately 160 miles respectively 258 kilometers.
By car or train, the actual journey to Āq Qāyeh is certainly longer, as only the direct route (as the crow flies) between Balkanabat and Āq Qāyeh has been calculated here.
Air line (approximately)
258 kilometers
139 nautical miles