Well one obvious starting point is with the sequence of symbols consisting of ACGT.
Well, it has to be not quite so simplistic, though. Those are the basic building block (amino acids) structures of DNA, but these are further organized into 3-base groups to provide the genetic recipe, if you will, for cells to build proteins and other molecules that trigger different cellular functions.
It's just not so simply, I feel, to surmise that this "information" is static. I think the key to the anti-evolutionists/pro-ID proponents argument is that such changes, in order to be heritable, would have to occur within gametes. And, since gametogenesis (at least female) is formed before birth, then it would be unlikely that such meaningful and additive changes could be passed to offspring at the time of conception.
But, we know this is the case. Fragile X syndrome is an example of a deleterious addition to oocytes that occurs during gamete formation in female fetuses. Secondly, spermatogenesis occurs regularly by Sertoli cells within the testes, and there is ample room for genetic variation at that level. Therefore, I don't know what it is unreasonable to suspect that this could not occur. Lastly, there is clearly evidence that genes jump and move, as well as rearrange themselves, early developmentally. We don't always directly observe these changes because these changes are either deleterious and result in fetal loss, they occur in what are currently believed to be "unimportant" regions of DNA, or they are so subtle that it is currently hard to observe them without actually mapping individual genome and comparing it to a reference set.
I'm not sure how "informatics" would apply to genomics, but this may just be that I don't know enough about informatics. Some theories, though, look enticing and may be helpful in letting us to begin to understand how processes interact. My analogy, however, is that the human genome is probably more like one big Sudoku puzzle: as we think we've figured out the specific regional effects of one area, some new information will come back and cause us to rethink what we had already solved. The knowledge with the genome, and genetics as a field, is exciting because of this fact, namely that the knowledge is turing over rapidly. But, the fundamental knowledge (the forest) is already well established, born out by rigorous scientific study, and unlikely to change. So, a lot of this discourse with the current state of knowledge is like arguing how many angels can fit on the head of a pin.
That's why I think the question posed to Dawkins is a no-win trap that doesn't really have a meaningful answer in the first place. If he'd answered it definitively, there's a high likelihood that later down the road someone could say, "See, here now is proof that he didn't know what he was talking about back then." No-win situation.
-copro