Dear Jakob,
Thank you and congratulations for bringing your question out of our private email communication out here into the public forum.
Are you asking whether you can set the value of that parameter on a selected family instance after it has been inserted into the BIM project?
If so, the answer is yes, and it is one of the first and simplest tasks that is covered right at the beginning of the tutorial material pointed to by the instructions on getting started with the Revit API:
https://thebuildingcoder.typepad.com/blog/about-the-author.html#2
Here is a snippet of sample code showing how to retrieve an element from its element id, get the parameter associated with a built-in parameter enum such as INSTANCE_SILL_HEIGHT_PARAM, and set its value:
There are many, many more samples where that one came from.
You might also want to check out a tutorial specifically on setting parameters in Revit. Here is the first one that happened to come up right now:
https://spiderinnet.typepad.com/blog/2011/04/parameter-of-revit-api-1-builtinparameter.html
By the way, here is another recent interesting question that is vaguely related to yours, althopugh a bit more specific and complex:
Cheers,
Jeremy