The calculated distance (air line) between Las Palmas de Gran Canaria and Tegueste is approximately 64 miles respectively 102 kilometers.
By car or train, the actual journey to Tegueste is certainly longer, as only the direct route (as the crow flies) between Las Palmas de Gran Canaria and Tegueste has been calculated here.
Air line (approximately)
102 kilometers
55 nautical miles