  Results of a search for Kr-78 double K-capture at the second stage of the
experiment with high-pressure copper proportional counters are presented. The
method is based on comparison of spectra measured with natural and enriched
krypton. The total exposure of the low background measurements is for Kr-78 152
g*yr and for Kr-nat 106 g*yr. An excess of events was observed in the analysis
of Kr-78 selected data collected during 2008-2010 years. This excess could
correspond to a double K-capture of Kr-78 with the half-life of T_{1/2}(2K,2\nu
+ 0\nu)=[1.4^{+2.2}_{-0.7}]\cdot 10^{22}$ yr (90% C.L.)
