Luwian language
According to the widely held Kurgan hypothesis, c.q. renewed Steppe hypothesis, the oldest branch were the Anatolian languages (Hittite language and Luwian language) which split from the earliest proto-Indo-European speech community (archaic PIE), which itself developed in the Volga basin. The second-oldest branch, the Tocharian languages, were spoken in the Tarim Basin (present-day western China), and split-off from early PIE, which was spoken on the eastern Pontic steppe. The bulk of the Indo-European languages developed from late PIE, which was spoken at the Yamnaya horizon in the Pontic–Caspian steppe, around 3000 BCE.