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Restores 25% of the holder's max HP when the holder is hit by a super effective attack. Consumed after use.
Enigma Berry is one of those event items of little use. Certainly, you recover HP after taking a super effective hit, but this is small compensation for having to take the super effective hit in the first place—which is almost guaranteed to do more than 25% if it's from a moderately powerful attacker—and if your Pokemon is defensive enough to take this hit comfortably, Leftovers is probably a better idea regardless. If you really must soften a super effective hit, use a type-resistance Berry, or failing that, a Sitrus Berry. Anything but Enigma Berry, really.
Available through a Wi-Fi Event Darkrai starting May 9, 2012 in Oceania, Europe, and North America.