There was a bill introduced at the legislature this session prohibiting lawyers from sending letters offering their services to folks accused of crimes until 30 days after the arrest. It seems to be modeled on the statute which places a 40-day moratorium on contacting victims of accidents. I don't know who sponsored the thing, but it is a good guess that it was a lawyer.
Opinion: If You've Already Been Arrested, Disregard This Letter
The Connecticut Law Tribune
June 7, 2013