Well Achtundvierig sounds alot like Achtundvierzig which means 48 in modern day german. Mayhaps Achtundvierig was a regional way of saying 48, referring to the number of members in the government?
Yes, that's exactly what it was. They had originally planned to have a group of 60 judges, 12 from each dofft of Dithmarschen, but Strandmannsdofft was initially uninterested in joining, so they wound up with 48.