The calculated distance (air line) between Hofheim in Unterfranken and Bielefeld is approximately 157 miles respectively 253 kilometers.
By car or train, the actual journey to Bielefeld is certainly longer, as only the direct route (as the crow flies) between Hofheim in Unterfranken and Bielefeld has been calculated here.
Air line (approximately)
253 kilometers
136 nautical miles