A hermitage was founded adjacent to the Mar Menor, and ruins of a monastery bearing his name date from before the Moorish conquest of 711 AD, that is, from the Visigothic era.
However, there is no actual tomb or sepulchre for Ginés: the location of his relics was a cause for the invention of multiple legends.
[1] Some scholars believe he may be identical with Genesius of Arles, in Spanish known as San Ginés de Arlés, who was martyred in the 4th century.
[1] An additional variation on the legend states that after Ginés was decapitated in southern France, he picked up his head and threw it into the Rhône.
The spot of Ginés' supposed hermitage at the Mar Menor survived as a sacred site during the age of Muslim rule (and was mentioned by Moorish authors).
[1] After the area’s conquest by the Castilians, Alfonso X of Castile restored the bishopric and founded the monastery of San Ginés de la Jara (1250).
[1] His cult has been described as essentially local, though it spread to nearby areas, such as Lorca, Murcia, Orihuela, and even North Africa.