Find a flat backroad or empty parking lot, get to 30-40 mph, take hands off wheel, take your foot off the gas and coast. Does your car pull in either direction?
Next when coasting apply a minimal amount of breaking not enough to really slow, but enough to have breaks apply, does the pull/shudder go away?
A minimally dragging break can cause a shudder when freely coasting and be light enough to not cause much of a pull unless you aren't controlling it.
When you purchased your tires, did you mount them yourself or have it professionally done? Severely off balance tires can cause some shuddering issues as well.
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