Gary is all over it. Generally, Toto recommends that the flush valve nut (the big one) be tightened hand-tight plus 1/2 turn. See item (3) on p.4 of these instructions:
Toto Installation Instructions
We probably don't need to know the model of toilet to help, but if you know, and tell us, that might spark an idea.
You might also look for a crack on the tank if that doesn't fix it. Also, look at item (4) and illustration 6 to see how the tank is supposed to be mounted. That's what he means by 3 points of contact.
Only final thing I can think of is that the installers may not have used the proper "double nut" procedure to secure the tank, as shown in the instructions. If you look in the tank, you see two bolt heads with rubber washers underneath them? Make sure there is no metal washer between the bolt head and rubber washer (it will be obvious if there is). (That's a rookie error that many handymen make, as I have learned from reading other forums; for some reason, they think that the metal washer goes between the bolt head and the rubber washer, which it doesn't, and this sometimes causes a leak.) The way the Toto tank should be mounted is bolt head and rubber washer inside tank, one metal washer and nut on other side of tank, tightened finger-tight plus 1/2 turn (this seals the bolt head and washer on the hole), then second metal washer and second nut are used under the bowl to secure the tank to the bowl. Sometimes, handymen don't do the procedure where they tighten the nut and washer on the outside of the tank, and instead just use one washer and nut under the bowl without first doing the nut and washer under the tank. That's not a totally-wrong way to do it, but it is not the way Toto says to do it, and it is considered by many to be more prone to leaks. So if they installed the thing without reading the instructions and were standing around going, "How nice of them to give us extra nuts and washers!", this may be a leak source.
Come back to us if this doesn't fix it.
Just out of curiosity, the tank can't be "sweating", can it? Meaning that the toilet has been installed in an area of normal-ish humidity, not like in an un-airconditioned vacation home, correct? (I would count a typical bathroom as being "normal" humidity, even if you take long hot showers.) One final thought: you can tell whether the water is leaking from the tank by putting a little food coloring in the tank. If the water you find by the Toto logo is colored, then you know it's from inside the tank. If not, then it's from another source (sweating, drip from ceiling, some kind of leak from fresh water supply, etc.)