A technique to search for 2K-capture of 78 Kr with large low-background proportional counter filled with an enriched in 78 Kr up to 99.8% sample of Krypton at a pressure of 4.51 is described in this paper. The results of first measurements are presented. Analysis of data collected during 159 hours yielded new limit to the half-life of 78 Kr with regard to 2K-capture (T 1/2 ≥ 6 · 10 21 yr (90% C.L.)). Sensitivity of the facility to the process for one year of measurement was evaluated to be S = 1.0 · 10 22 yr (90% C.L.).

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