I've used Double-X, one roll (second is in my camera bag); I've used Caffenol a fair amount (between 2003 and 2007, in several variations), though I haven't used them together.
Depending what version of Caffenol you used, 12 minutes might be on the short side for Double-X. Yes, that's the time I used to use for Caffenol C with Tri-X and Fomapan 400, and get good negatives -- but if your Caffenol had less vitamin C, or a lower pH, or your coffee was weaker in developing agent (no longer thought to be caffeic acid, it seems), this might be too little time. I'm not sure what you mean by 12+2 minutes, either. I suspect, however, that the KBr you added has slowed things down (antifog agents often do that) and you'll need more than 12 or even 14 minutes. I never used an anti-fog with Caffenol; I just accepted the fog (and the stain, before I started adding ascorbate) and scanned/printed through it.