These are believed to have been struck originally by Joseph Mickley from dies sold be the mint as scrap. The obverse is from Newcomb 2 dies and the reverse is from 1813 Sheldon 293. They were struck over several years resulting in deterioration of the dies with later issues struck after the obverse die broke.
Examples are known in copper J46A/P6220 and are very common although they are rare in full red. These are normally collected by large cent collectors.
It was not added to the Judd book until the final 7th edition and has since been removed from the later editions.
A few were also made in silver J46/P6225.
Additional information on these can be found in chapter 5 of Don Taxay's "Counterfeit, Mis-struck and Unofficial U.S. Coins" and also Mark Borckardt's article "Restriking the Issues: The Large Cent Restrikes of 1804, 1810, and 1823," Coinage of the Americas Conference, New York: American Numismatic Society, 1998."
The illustrated example is the former R.E. Naftzger specimen, believed to be the finest known. Photo courtesy of Bowers and Merena.