The calculated distance (air line) between La Teste-de-Buch and Limoges is approximately 143 miles respectively 230 kilometers.
By car or train, the actual journey to Limoges is certainly longer, as only the direct route (as the crow flies) between La Teste-de-Buch and Limoges has been calculated here.
Air line (approximately)
230 kilometers
124 nautical miles