I would recommend you review the Pakcage Cache Sections in:
http://www.redbooks.ibm.com/abstract...6432.html?Open
It is unlikely you would need to have a Package Cache as large as you have stated (384000 ???), this seems excessive (Note: there is a performance penalty in setting this too high).
I have seen customers with the need for up to 40000 - and this was exceptional, as they had vast numbers of packages.
It sounds to me that you may not get reading the Hit Rate correctly. The above Redbook details how to capture the correct reading.
Does your application have many static pacakges + dynamic SQL calls, as there aren't that many then something doesn't add up.
Graham Martin
http://www.ibm.com/software/data/db2/migration/