Do the size of Bigby’s hands change depending on the size of the creature that casts it?

@JeremyECrawford , do the size of Bigby's hands change depending on the size of the creature that casts it?
For example, would a giant have larger Bigby's hands than a pixie would?

— Dave Gregoire (@Slit518) November 8, 2018

The Bigby's hand spell creates a Large hand.

If the size of the hand was based the caster's size, the spell would say so. #DnD https://t.co/BAYaEzZIDy

— Jeremy Crawford (@JeremyECrawford) November 8, 2018