Original: The most famous example is the lineage of Dalai Lamas; the current Dalai Lama, Tenzin Gyatso, is held to be the fourteenth mindstream emanation, the first being Gendun Drup (1391–1474).
Simplified: The most famous example is the lineage of Dalai Lamas, who are said to be reincarnations of the previous thirteen Dalai Lamas, beginning with Gendun Drup (1391 – 1474).