We present new preliminary DANSS results based on 3.5 million Inverse Beta Decay (IBD) events collected at 3 distances (10.9~m, 11.9~m, and 12.9~m) from the detector center to the reactor core center. The detector position is changed typically 3 times a week. Therefore many systematic uncertainties are canceled out. A new analysis that uses information about relative IBD counting rates in addition to changes in positron energy spectra shapes is employed. The excluded area covers a very interesting range of the sterile neutrino parameters up to $sin^2~2\theta_{ee} < 0.008$ in the most sensitive region. No statistically significant evidence for sterile neutrinos is observed. The significance of the best-fit point in the 4$\nu$ case is 1.5$\sigma$.