High Quality Content by WIKIPEDIA articles! The palaestra at Delphi is part of a gymnasium at the sanctuary. It is the oldest existing gymnasium from the Greek world, dating to the second half of the fourth century B.C. It was built on two terraces, with the palaestra and baths on the lower terrace. The frequent earthquakes and landslides at Delphi have damaged the palaestra the most seriously of all of the gymnasium areas.