The calculated distance (air line) between Bad Neustadt an der Saale and Karlsruhe is approximately 121 miles respectively 195 kilometers.
By car or train, the actual journey to Karlsruhe is certainly longer, as only the direct route (as the crow flies) between Bad Neustadt an der Saale and Karlsruhe has been calculated here.
Air line (approximately)
195 kilometers
105 nautical miles