The Tu-95 was designed as a strategic bomber with enough range to bomb the US. The Tu-16 was designed as a regional bomber with enough range to hit some targets in Europe. So they are in different classes.
The turbojet powered Soviet strategic bomber contemporary to these aircraft would be the Myasishchev M-4 "Bison". But it had issues with the initial engines not performing up to spec which cut into the range. This was only solved with the 3M version which used different engines and had in-flight refueling.
The H-6K has way more range than the original H-6 because of the different engines. They basically put engines from the 1970s in a 1950s designed airframe.