One problem is that all the parameters are NOT independent, and you also have to be very precise about which parameter you are referring to.

In Astronomical circles, it's common to describe exoplanets by their radius or diameter, rather than Mass. If you mean 2 or 3 times the mass, then please say so explicitly. A planet 2 or 3 times the radius will be AT LEAST 8 to 27 times the Mass! The range in mass becomes very wide compared to the range in radii.

THEN, you want to have a planet which is "exactly like Earth, including density, but larger"

Well, sorry, you can't have that. As planets get larger, their gravity gets stronger, and the same materials get crushed to higher densities. So if you want a planet with the same bulk density of the earth, but larger, you have to make it out of progressively lighter elements, or a larger ratio of lighter elements to heavier ones...