So far the closest is 10th cousin, via the Batchelders of Massachusetts.
But we numerous times share grandmothers and grandfathers, before we diverge off again due to descent from a different sib.
Well, we’ve done it again, this time re Adm. Hawkins, naval architect, and one of the 3 commanders of the British Fleet against the Spanish Armada—. I saw Pinney and Hawkins come up in her tree, and sure enough, her 11th great grandmother is my 10th. We’re always about a generation apart in the relationship, though we’re only 10 years apart in our ages.