The calculated distance (air line) between Heilbad Heiligenstadt and Wiesbaden is approximately 122 miles respectively 196 kilometers.
By car or train, the actual journey to Wiesbaden is certainly longer, as only the direct route (as the crow flies) between Heilbad Heiligenstadt and Wiesbaden has been calculated here.
Air line (approximately)
196 kilometers
106 nautical miles