Actually, no.
The given order of visa-free movement through the airport does not extend to persons coming to Belarus by plane from the Russian Federation, as well as to those who intend to fly to the airports of the Russian Federation (such flights are considered as internal ones and do not have border control).
Additionally you must enter AND exit through Minsk to use the visa exemption.
http://mfa.gov.by/en/visa/visafreetr...bb1f9bf2c.html