The calculated distance (air line) between Veltheim (Kreis 5) and Bern is approximately 71 miles respectively 115 kilometers.
By car or train, the actual journey to Bern is certainly longer, as only the direct route (as the crow flies) between Veltheim (Kreis 5) and Bern has been calculated here.
Air line (approximately)
115 kilometers
62 nautical miles