Strake and Tiger...
According to
this website, Krasnodar Int'l Airport is still Joint Civ/Mil and the military do indeed fly Su-25's from there. The road is almost certainly the M4 which runs SW to NE to the North of Krasnodar.
If you check out the original video in full screen there is a Military looking vehicle with observers parked up on the hard shoulder on the right (at 59seconds) and a fair bit of civ/mil traffic stopped in coned off outside lane of the opposite carriageway.
More interesting perhaps, especially to the Military Spotter community, is another airfield about 10kms North of Krasnodar at 45° 04'49.61N, 38° 57'39.50E an absolute treasure trove of military aviation hardware...
Check it out!