I've had new and old tires balanced several times in some cases with no change in results.

Then one day, I buy a different set and voila! No more vibration!

Sometimes it's the tires themselves...

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2009 ML350 (106K) - Family vehicle
2001 CLK430 Cabriolet (80K) - Wife's car
2005 BMW 645CI (138K) - My daily driver
2016 Mustang (32K) - Daughter's car