They raided the Ming dynasty and attacked the Four Oirats .
The Tumeds reached their peak under the rule of Altan Khan ( 1507 -- 1582 ) in the mid-16th century .
Tumeds raided the Ming dynasty and attacked the Four Oirats .
The Tumeds reached their peak under the rule of Altan Khan ( 1507 -- 1582 ) in the mid-16th century .