The calculated distance (air line) between Budapest XXIII. kerület and Józsefváros is approximately 7 miles respectively 11 kilometers.
By car or train, the actual journey to Józsefváros is certainly longer, as only the direct route (as the crow flies) between Budapest XXIII. kerület and Józsefváros has been calculated here.
Air line (approximately)
11 kilometers
6 nautical miles