I had this exact sound. Turns out my rear differential was leaking due to bad gasket. Got the gaskets replaced and sound is gone.
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2016 340i xDrive - BM3 Stage 2 93 OTS - xHP Transmission Tune Stage 2 - B58TU HPFP - Bilstein B14 - VRSF Catless DP - Kyostar CAI
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