I beg to differ. Science has made many a mistake by pronouncing a theory a law and then finding out years later that it is in error.
You are misunderstanding how science works.
You seem to be taking a scientific law to something created by God as part of the design of the natural universe. While some scientists look at it that way, that leads to a misunderstanding of science.
It is better to think of a scientific law as a human construct, made as part of a program of successive approximation. It is not that laws are found to be in error. Rather, we develop better approximations, and thus we abandon the earlier approximation in preference for the newer, better one. It is a mistake to say that an earlier approximation was an error. It might have been the best approximation possible at the time. Using the best approximation available is not an error, even though at a later time an even better approximation might become available.
This is a cut and dry case of deductive resoning. If so far it appears that all codes come from a concious mind, than DNA, being a code, possibly came from a concious mind, until proven otherwise.
It is a little misleading to say that DNA is a code.
Portions of DNA are often described using the letters 'A', 'C', 'G', 'T'. This representation in letters is a code. The DNA is itself sometimes referred to as a genetic code. That's because humans have designated it as a code.
If you want to say that DNA is a code, then it is indeed a human constructed code. The decision to designate it as a code (as a realization of the genetic code) is the construction that makes DNA a code. The DNA is a code by virtue of that designation, and by virtue of the way humans use it, not by virtue of the way it works in biochemistry. In terms of the biochemistry, the DNA is simply part of a causal mechanism.
Your argument really amounts to this: Because humans designated the DNA as a code, and used it as a code, therefore the DNA itself must have been designed by a higher intelligence. But that is an absurd argument.