I have the impression that a clogged Weber idle jet is one of the most common carb ailments with an 02. I had been struggling with mine for a while before I came across a very clear description of what to look for and how to clear it. Having done it once, it is a simple item, of course; but instructions in getting there the first time are deserving of an FAQ Article.
With that preamble, I recommend adding Zenon's post below (including diagram) as an FAQ Article, or possibly an addendum to the excellent Weber tune-up article that is already there.
http://www.bmw2002faq.com/component/option,com_forum/Itemid,57/page,viewtopic/t,255400/highlight,weber/_________________
67 Caribe 1600
76 Ceylon 2002