There is no benefit of running 16 ohms. Unless you had a 4x12 cabinet in which case you could have
2 pairs of series connected speakers in parallel giving you an 8 ohm cabinet.
But for a 2x12 you are better off hooking up in parallel giving you a 4 ohm cabinet.
Many amps have a 4 ohm output, have not seen one with a 16 ohm output. (ok early tube amps in the 50s might have had a 16 ohm transformer tap).
Also a four ohm cabinet will require less power for the same sound level output. (or at least a lower voltage to produce the same output.)
If you have a stereo amp, you could have two jacks on the cabinet, and run one channel of the amp
to each speaker.
Bottom line Yay on the 4 ohm, nay on the 16 ohm.