Making a silver coin black is even easier. No heat required. Just store it with something sulfurous - eggs, garlic, onions, rubber, that sort of thing. A few weeks to a few months ought to do it. Of course, heat plus sulfur makes it happen even quicker.
Sorry, shanew, but this isn't a "mint error" of any kind. It's just unusual toning. Of course, being "just toning" doesn't mean it's trash, or that you aren't allowed to like how it looks. I once acquired a 1927 Canberra florin from a bulk lot; it was in superb condition but the entire coin was toned a glossy jet-black. I asked a dealer what he thought it was worth and he said words to the effect of "That thing's ugly, I'd have to clean it before I sold it - it's worth only melt otherwise". But I liked it, so I decided to keep it as-is.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis