The earlier search at HERMES for narrow baryon states excited in quasi-real photoproduction, decaying through the channel $pK_S^0rightarrow ppi^+pi^-$, has been extended with improved decay-particle reconstruction, more advanced particle identification, and increased event samples. The structure observed earlier at an invariant mass of 1528 MeV shifts to 1522 MeV and the statistical significance drops to about 2$sigma$ for data taken with a deuterium target. The number of events above background is $68_{-31}^{+98}text{(stat)}pm13text{(sys)}$. No such structure is observed in the hydrogen data set.