We have carried out a pilot data taking of the J-PARC E05 experiment to search for the bound state peaks of $^{12}_\Xi$Be in the $^{12}$C$(K^-, K^+)X$ reaction at 1.8 GeV/$c$. The measurement was performed at the K1.8 beam line of the J-PARC hadron experimental hall with a typical $K^-$ beam intensity of $6\times 10^{5}$ every six seconds. So far the best energy resolution of about 6 MeV$_{FWHM}$ was achieved with the existing SKS spectrometer. With a reasonable statistics, we have succeeded to observe peak structures in the bound region, which seems to suggest that the potential depth of $\Xi$ would be deeper than 14 MeV estimated in the previous measurements.