Documentary sources confirm a very large tsunami affecting the southeast coast of Majorca in 1756, with a run-in up to 2 km and a run-up up to 45 m.
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Alternatives would be Port de Soller, Puerto Pollensa, Cala Bona. Places to avoid, Magalluf, El Arenal. Playa de Palma would fit a little more from a central 'base' point of view, however there will certainly be a lot of European package tourists there. They'll be a fair few of them all over the Island in June anyway.
When a tsunami comes ashore, areas less than 25 feet above sea level and within a mile of the sea will be in the greatest danger. However, tsunamis can surge up to 10 miles inland. “It's really just kind of relentless, the water just keeps on coming and coming and coming for a long time,” Garrison-Laney says.