Yes, you can clean a Cuisinart 14 cup coffee maker with vinegar, but don’t use full strength vinegar in your machine. Doing so may damage the internal parts.
You can, however, use a solution of 1/3 vinegar and 2/3 water to descale your coffee maker. To do this, fill up the reservoir with the vinegar solution and hit the Clean button on the controls.
Once the cycle is finished, run a full reservoir of fresh, clean water through your machine to get the vinegar out.
Take a look at the Cuisinart DCC 3200 manual for further details on cleaning.