I'm coming up with 17.5mm thickness with a deflection of .43mm (3.8 safety factor) 16mm=2.9 and 15mm=2.6. Industry standards for US type builds is 3.8, but euro builds (with more bracing) can go thinner, while thick enough glass can offset the need for braces in some builds.
The thinner it is, the more risk. Preferably, thinner (within a small range) should be offset by a better build and a better quality glass. Going thicker allows more room for error. Keep in mind that the safety factors people typically quote assume cross-bracing where it normally is used, so these numbers assume bracing.
Long pieces of glass with the right thickness will have minimal defection if braced properly. If not braced, they will need to be very thick---much thicker than is needed---or they will risk failure.