Funny enough, the ones I have marked as oldest are called "The Swords of Arslantepe" [1] (which the article mentions in passing) from the same general region as this one, and are said to be also ~5k old, and of a very similar chemical composition. The weapons of the royal tombs of Ur [2] are right behind these in age.
[1] https://duckduckgo.com/?t=ffcm&q=Swords+of+Arslantepe&iax=im...
[2] http://sumerianshakespeare.com/117701/118301.html
edit: From the article, a new one to me: "and the sword found in the Tokat Museum in Turkey", now I have a new something to search for!