Cylinder #2 carbon fouled plug x 3

So for the past 3 months I've notice that only my cylinder number 2 plug becomes heavily fouled after only a couple thousand miles.... I've pulled it once a month for the past 3 months and each time I had to install a fresh plug. The carbon fouling is pretty heavy and comes up the threads of the plug a little. The plug is dry in appearance and I have yet to throw a misfire code. All of the other plugs look almost new. Usually I would suspect a rich condition is causing the carbon build up but it is only happening in one cylinder? The plug has never been wet and the cylinder looks dry when I pull the plug so I do not thinks it is a injector issue, so that leaves me with a weak coil...I think? Has anyone ever had a weak coil cause a similar issue without throwing a misfire code? Thanks for your help!