The complete tables of the results of Nicely's computations (1993-2009) of certain prime constellations are maintained at the Department of Mathematics, University of Washington (Seattle):

If not redirected within a few seconds, click on the above link (which is prone to delays and occasional outages).

Note that these data files are quite large (over 60MB each, even for the zipped versions); they contain the counts and the reciprocal sums at over two million data points to 2e16.