human brains can solve problems that could not possibly have been anticipated in the genetic code
My understanding is that the only thing the genetic code actually does is program protein synthesis. Do you know of good evidence that it does more than that? Rupert Sheldrake in "A New Science of Life" suggested that there are "Morphic Fields" that cause living tissues to take the forms that they do. Such fields may explain protein folding too. Surely DNA doesn't cause consistent protein folding patterns. Does it?