The Revit API only supports specific simple parameter data types such as integer, double, string and ElementId.
Unfortunately, if your parameter data does not fit into one of those, the API will probably not provide any access to it.
Sorry about that.
You could submit a wish for this functionality to the Revit Idea Station.
Whenever you require new or enhanced functionality, the Revit Idea Station is the place to go.
Please search there for a corresponding wish list entry for the suggested functionality and add your comments to it, or create a new one, if none already exists:
https://forums.autodesk.com/t5/revit-ideas/idb-p/302
Tag it as an API wish:
https://forums.autodesk.com/t5/revit-ideas/idb-p/302/tab/most-recent/label-name/api
Ensure it gets as many votes as possible to underline its importance to you and the rest of the developer community.
The Revit Idea Station is currently one of the main driving input forces for Revit API enhancements.
The Revit development team look there. Your comment here in the discussion forum might be overlooked.
Thank you!