It cannot be a "mint error". While genuine double-headed and double-tailed coins are known, they are extremely scarce and not technically "errors" - they were deliberately made by people working off-production using a press specifically set up to make double-tailed coins. The obverse and reverse dies used to make coins have differently-shaped attachments for installing into a press; putting a "tails" die into the "heads" position of a press would be like putting a square peg in a round hole. It just doesn't fit.
Rather, your coin is most likely a "trick coin", made by taking two perfectly normal coins. One coin is ground down on one side so that it's wafer-thin. The second coin is hollowed out on a lathe to form a shallow "bowl" or "dish", into which the thinned-down second coin is pushed. The "seam" between the two half-coins is thus inside the rim on one side of the coin - probably the side shown in pics 1, 2 and 4 above.
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