Aziz Mahmud Hüdai, one of the most famous saints of the Ottoman Empire, was born in 1541 and died in 1648. Some of his clothes, including three hırkas (dervish overgarments) and a long gömlek inscribed with mystical formulae, were preserved.
Source: Nurhan Atasoy. Derviş Çeyizi: Türkiye’de Tarikat Giyim-Kuşam Tarihi. T.C. Kültür Bakanlığı, 2000, p. 44
Date: First half of the 16th century (my personal guess)