Donald, if you make it known that you would like to have the correct screw it is pretty likely that someone here will make one available to you.
The shot pattern that a particular gun produces has little or nothing to do with barrel length but is determined by how the barrels are chokes e.g., the amount of constriction from nominal bore size to something of a lesser size or diameter... this will throw a tighter or closer pattern than true cylinder or consistent nominal bore size right to the end of the barrel. Parker chokes are typically from 4" to 6" or more into the bores from the muzzles.
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