I do not see how one could achieve an actual 16:1 compression ratio in a gasoline engine without uncontrolled detonation (pinging/pinking/knocking). I think that the upper limit is ~ 11:1.
There are some gasoline engines, so-called Atkinson Cycle engines, e.g., the ones used in the Toyota Prius, that have a volumetric compression ratio in the range of 13:1 or 14:1. However, such engines employ delayed closings of the intake valves.
In such engines, for a portion of the compression stroke by a given cylinder, the intake valve associated with that cylinder remains open. Some of the air that had been drawn into the cylinder during the intake stroke is pushed back into the intake manifold. After the intake valve closes, the remaining air is compressed until the piston continues its upward travel and reaches top dead center. As a result of the delayed closing of the intake valve, the effective compression ratio is a good bit less than bottom-dead-center-to-top-dead-center travel distance, by itself, would indicate.