The calculated distance (air line) between Basauri and Gasteiz / Vitoria is approximately 29 miles respectively 47 kilometers.
By car or train, the actual journey to Gasteiz / Vitoria is certainly longer, as only the direct route (as the crow flies) between Basauri and Gasteiz / Vitoria has been calculated here.
Air line (approximately)
47 kilometers
25 nautical miles