16th century, Native Americans would not have had their own manufactured guns, but if they did acquire firearms, they would most likely have been a type of "arquebus," a early matchlock #musket that was the prevalent firearm of the time, usually obtained through trade or conflict with European colonizers.
Key points about this "Native American 16th century gun":
Type:
Primarily an arquebus, which was a heavy, smoothbore, muzzle-loaded gun that required a match to ignite