“The wheat of Korazim is sought as an Omer offering, even though [the town] is not close to Jerusalem.” https://www.biblewhere.com/virtual_to…
They did buy the wheat from Korazim and give it in the temple as a freewill offering.
https://en.parks.org.il/reserve-park/… Grassy batha: The basalt plateau produces an abundance of grassy species, mainly grains. A large quantity of wild (emmer) wheat grows here and the ancestors of other domesticated plants. In spring the plateau is dotted with tall hollyhocks.
https://en.parks.org.il/reserve-park/… The town of Korazim is first mentioned in sources from the Second Temple period, noting the fine wheat the inhabitants raised there. It flourished at the end of the talmudic period. In the New Testament, Korazim is mentioned as one of three towns – together with Bethsaida and Capernaum – which Jesus cursed because they did not heed his teachings (Matt. 11:20).