The calculated distance (air line) between Esplugues de Llobregat and Palma is approximately 128 miles respectively 207 kilometers.
By car or train, the actual journey to Palma is certainly longer, as only the direct route (as the crow flies) between Esplugues de Llobregat and Palma has been calculated here.
Air line (approximately)
207 kilometers
111 nautical miles