Were they Turkic? I honestly know very little about them.
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Don't think Avars were Turkic.
Anyway, looks like that sample predates the Pannonian Avar period which began in the second half of the 6th cent.
https://en.wikipedia.org/wiki/Pannonian_Avars
I don't think the ones in Europe would have been that much Mongoloid like modern native Siberians.
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Avar proper skulls from Hungary are antropometrically fully mongoloid. In Byzantine Cronicles, it is written Croats captured Avars they defeated, and assimilated them, and that long time after that, it was visible who was of Avar descent among Croats. It means they were recognizable by their look.