Amida
Amida has 5 watches in the database across 5 model families. Lug-to-lug runs from 39 mm to 39.6 mm, with a median of 39 mm, alongside case diameters of 39 mm to 39.6 mm and thickness of 15.6 mm to 16 mm.
None of them fall in the balanced range on a 6.5-inch wrist, so check the wrist guide before choosing.