[xwaezvvv] Draw a large binary tree

What is the largest full binary tree that has ever been physically drawn?  Maybe wall sized with leaves requiring a magnifying glass or microscope to examine.  What interesting could be written at the leaves?  Maybe a single random or pseudorandom bit, providing a data expander, though not very robust because there is exactly one copy of any leaf.  Or a significant amount of data per leaf, probably as a 1D barcode, because leaves need to be very thin.

Consider drawing the inner nodes as light or dark regions, inspired by Gray code wheels, rather than stalks as trees are typically drawn.