The calculated distance (air line) between La Tour-de-Peilz and Luzern is approximately 80 miles respectively 129 kilometers.
By car or train, the actual journey to Luzern is certainly longer, as only the direct route (as the crow flies) between La Tour-de-Peilz and Luzern has been calculated here.
Air line (approximately)
129 kilometers
69 nautical miles