Ok perhaps a little plumber lesson.
As the storage tank fills the ballvalve slowly closes, and its the last half a pint shall we say that causes the noise, therefor when you run any cold tap the ball drops slightly and the noise stops.
Low pressure tank fed supplies do not make vibrations, unless there's a pump or anything mechanical that can cause it.
The above is why I want the pics to see whether anything is noticeably wrong.
It may be a loose washer/jumper in the stopcock or several other problems like unfixed pipes but at the moment it points to the storage tank.
You can easily proof my point by pressing the ball down next time it makes a noise.
There's is also a chance it may be your neighbour, so we should explore that posiblity as well, if it's a shared main, so some back ground info please.
Have you checked all the outlets especially the wc valves.
Is the cylinder fed from the tank or mains.
Is there an expansion vessel anywhere near the pipes.