According to Lobaev Arms, they have set a new world record of sniper rifle shooting. They managed to hit a 1×1 meter square target at a distance of 4,210 meters (4,604 yards). They used a Lobaev SVLK-14 Sumrak (Twilight) bolt action rifle shown in the top image.
The Lobaev Arms news release also says that making a shot at such a long range is an achievement of a team rather than the shooter alone. Everything from precise measurements and calculations of wind, atmospheric pressure, temperature and even Coriolis effect (the influence of the rotation of Earth on the projectile) to the correct spotting of the shots are important to make such an extreme long range hit. It takes 13 seconds for the bullet to reach the target at over 4-kilometer distance.
The Twilight rifle they used had a 935mm (about 36.8″) long barrel with 1:10″ twist rate. It was equipped with a March scope with 5-40 magnification. They also used a wildcat cartridge called .40 Lobaev Improved, which is based on .408 Chey Tac with Ackley style case body modification for increasing the case capacity. Earlier, Lobaev Arms released a video showing the fireforming process of the .40 Lobaev Improved cartridge.
At the end of the video, they test fire the wildcat cartridges and achieve a muzzle velocity of 990 m/s (3,248 fps) using a 27 gram (419 grain) projectile.