My analysis is that it looks plausible and not really surprising if one knows a little bit about molecular biology. The extension of this is that one could find a vulnerability (buffer overflow maybe) in one of the software used by gene analysts that can be used by the injected DNA to infiltrate a PC.
It would be extremely surprising if any exploit could be triggered by a particular valid DNA sequence (which it would have to be to be able to be sequenced/synthesised).
