Seems to be a common issue where InDesign won't start. All sorts of advice all over the Internet, much of it useless.
Spent a couple of hours trying various thing and finally found and deleted the PC preferences files.
Set a new world record: 126 copies of InDesign running at once.
One would think Adobe would write the program to let you know another instance is already running before launching it yet again.
Which CC 2014.?