There seem to be a general rectangular layout with the Aksu design across the tribes (Ak su, in two words seems to be the correct spelling, I am a lousy speller apparently also in Turkmen, sorry). I have seen Salor, Eagle group, Saryk, Tekke, Yomud and Ersari versions, though no Chodor.
But the only one with white border and a squarish format I have seen is the one in this thread. I have just found a Tekke version where the white in the mainfield is cotton, but its on the marked so I can’t post it. I still tend to think Tekke is the most likely attribution, but it is somehow not totally satisfying, the feel and the color scheme doesn’t quite match what I associate with Tekke. Well, uncertainty is also interesting
best Martin