I'm not comfortable with the idea that my cells contain someone else's intellectual property.
So we're not just the data in our DNA. We are both our DNA data and the biological processes required to read that data, parse the information, and construct every part of ourselves (hat tip to mom for the initial power supply).
I think it's a valuable introspection to consider that the data set used to build each of us is representable by an integer, but we should not fall into the trap of believe that that is all we are.
Wikipedia indicates that the number of differences averages in the low hundreds, surely with such a low number there would remain plenty of parts that remain truly identical. For the purposes of a twin suing a twin for patent infringement, couldn't we just assume one of the many unchanged portions was patented, not the entirety?