According to Wikipedia, "[i]n English usage the palm, or small palm, also called handbreadth or handsbreadth, was originally based on the breadth of a human hand without the thumb," as it is shown in the picture below where line #3 is the palm or small palm and line #2 is the hand.
Thus, since it seems that there there is any name for the span between the thumb and the little finger, line #4, I wonder whether, nowadays, one can call big palm that span.
For what is worth, at least to me, Merriam-Webster is not so clear in reference to how that span is called, being its palm definition "a unit of length based on the breadth or length of the hand."