Analysis of information sources in references of the Wikipedia article "Monastery of the Holy Apostles" in English language version.
I spoke with Father Irinako [sic, Irinarchos] who is in charge of the church and he assured me that the correct name of the Church is The Greek Orthodox Church of the Twelve Apostles, Capernaum, Israel.
Holy Monastery of the Holy Apostles in Capernaum [as opposed to Holy Monastery of the Twelve Apostles in Tiberias]