From 2005-2012 the Mint produced Special Satin Finish Mint Sets. Each Mint Set contained an example of every circulating coin in a specially struck burnished planchet. For the Lincoln cent this was also the last year in which the Mint used the Memorial Cent design.
Most 2008-P Satin Finish Lincoln cents were struck very well, with many examples grading MS67 and higher. Coins in MS68 are a bit difficult to find but yet, still available. In MS69, they become more difficult with possibly a few hundred examples that grade MS69.