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US (Tracking Ultraviolet Set-up) is the first orbital detector of extreme energy cosmic rays. It was launched into orbit on April 28, 2016, as a part of the scientific payload of the Lomonosov satellite. The main aim of the mission is to test the technique of measuring UV fluorescent and Cherenkov radiation of extensive air showers (EAS) generated by primary cosmic rays with energies above 50 EeV. The TUS detector is a UV telescope with 2 m2 mirror and ±4.5° field of view. During more than a year of operation a number of EAS-like events were measured by the detector. We report results of a search for EAS-like events in the TUS data and their analysis, including a strong EECR candidate registered on October 3, 2016. Primary particle parameters, such as arrival direction and energy were estimated. Conditions of the measurements were studied to exclude thunderstorm atmospheric events. Results of the EECR candidate event analysis are presented and discussed.