It is not possible to assign the shape of a connection to a parameter, so building this as a parametric part isn't likely to solve the problem. The other problem is that it isn't possible to assign a 'number of connections' parameter.
However, you could use a section of rectangular duct then place takeoffs of any shape at any position on the four sides of the duct (see attached Plenum)
The other way to achieve this would be to create an 'in-place' MvPart... just use the AutoCAD 'box' command to create the box, select it, right click and use the 'Convert to MvPart' option... then you can add connectors anywhere on to any of the 6 faces... I'm not sure what Category would be most appropriate, doesn't really matter too much since the Category doesn't have any specific functionality (except for Air Terminals or Sprinkler.)... in the long run, probably easier than trying to build a parametric part with any number of connections of any shape at any location... actually, this would be the 'utlimate' parametric because AutoCAD will just let you build what you need ;).

Martin Schmid
Product Line Manager
Mechanical Detailing and Electrical Design
Architecture, Engineering, and Construction
Autodesk, Inc.