If you have a 24x24 unit, it is not the type unit that will take the heavy loads that a smaller traditional paver will. With that size unit, you will be facing cracking due to the inadequate base and the flexure that accompanies it.
The 4" sand bed could be excessive and be a problem since it could become saturated due to the concrete restraint if the base is not permeable. The polymeric sand is really just a temporary excess cost item.
A heavier duty paver than can be used for car traffic is 80 mm. A normal spec for interlocking concrete pavers is 8000 psi minimum (ASTM spec) and many are in the 10,000-12,000 psi. Interlocking pavers(usually less than 8 or 9" in any direction are much smaller than what you have specified. For heavier loads like roads, airport taxiways or ship unloading facilities, 100 mm is commonly used.
Look to the Interlocking Concrete Paving Institute (icpi.org for technical information).
Dick