Hell no. I support the death penalty, but because it's justice and retribution. Revenge is entirely different. Revenge is taking joy in the fact that you're causing pain to those who did pain to you. Retribution, and justice, are causing pain for someone because it's what they deserve, for the reason of causing pain to you. As soon as you take joy in that, it's no longer justified, and no longer retribution. Revenge is wrong, retribution is right.
So I don't agree that revenge is a reason for the death penalty, but I do believe in the death penalty for it's other pros. For example, do you really want to have a child rapist or a serial killer either released after 30-odd years, or else kept in prison on taxpayer's money for the rest of their lives? Or would you rather they die (quick or not doesn't matter here), so they're no longer able to do those things again, and we save all that money, all those resources, that can be used to help the good of society?