Depending on the site, the situation can be quite different. The curves are specific for a certain type of tree in a certain region. Very long unbroken curves are still quite rare. The "better" ones go back about 5,000 yrs. The longest one is the Hohenheimer Jahrringkalender, based on oak and pine trees from Southern and Eastern Germany. It goes back about 12,500 yrs (researchers work to extent it to 14,400 yrs before now).[1] To my knowledge, this is the only curve that goes back to the Gobekli Tepe area, but it is from a different region and therefore not helpful here.
[1] Project Web-site (in German): https://botanik.uni-hohenheim.de/dendro_hoh-jahrringkalender