RF switch(1:14 or 1:16) without signal distortion
All switches have distortion, but some less than others.

MEMs technology uses metal to metal contacts, a micromachined relay in fact, so you'd expect it to have very little distortion. They are still quite poor on hot switching, due to the very small geometries. That's the main reason I couldn't use them.

Silicon on sapphire CMOS technology is very good, IIP3s in the 50 to 80dBm in your frequency range. Have a look at Peregrine (no affiliation, but used them a lot) to see what sort of performance is available. There are other suppliers.

PIN diodes are still a strong player for RF switching, though not as convenient as the above two newer types, as you need to apply bias through the RF lines. As they are diodes, you can do clever logic through a string of them, pulling current from different nodes, to implement a high fanout multiplexer, which reduces the number of bias chokes needed. These are often used in switchable lowpass filters, pull current from the filter and it passes through the filter's inductors into the input and output multiplexer strings, short string for high frequency, long string for low frequency to help balance the RF loss through the system.