what EVER 
is meant by that, does not exist independently from all and other spatiotemporal considerations - and the math to describe those. It is customary to call all purely relativistic phenomena "illusions" in certain metaphysical traditions. Personally I don't consider such language especially helpful.
AFAIK Planck duration = Planck length = Planck energy, the scale where measurability (for observers like us) ceases as does continuity and we are left with quanta that cannot be further divided.
"According to special relativity, c is the maximum speed at which all energy, matter, and information in the universe can travel. It is the speed of all massless particles and associated fields—including electromagnetic radiation such as light—in vacuum, and it is predicted by the current theory to be the speed of gravity (that is, gravitational waves). Such particles and waves travel at c regardless of the motion of the source or the inertial frame of reference of the observer. "
It could be said that both Plack scale and speed of light are limits of availability of information. There is still no generally accepted unificatory theory to combine special relativity with quantum theory - and gravity and thermodynamics, but we can say that no scientific notion of time(space) exists independently from these theories.
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