OK,
Let's design your floor system.
The best way to do that is start with the floor sheathing, then size and space the joists. After that we size the beams which also spaces the piers.
Figuring a 50#/SF live load (Which is 10# more than a residential floor) and the typical 10#/SF dead load, a #2 and better hem-fir joist spaced at 16"o.c. (16"o.c. is good for the 3/4" T&G plywood floor sheathing you should use), and figuring a deflection limit of L/180, your 2x6 joists will span 8'-11".
So let us run 2 rows of 8 footers in the 16' direction.
This means you need 3 rows of beams running in the 24' direction.
Let's use 2 12' ones in each of the 3 rows of beams.
Now, let us size the beams. The more support piers you have, the smaller the beams must be, but there is a happy medium, where you don't have too many pier blocks to excavate for and set, yet the beams don't get too tall. Not that the joists hang off the side of the beams, rather than sit on top, so the height of the floor above surrounding grade is minimized. Also note that at one corner of where the structure sits, where the grade is highest, pier blocks here can just protrude above grade, with blocks elsewhere being more exposed as grade drops off.
So on to sizing. A beam is sized by the load of the contributing area it supports. The middle row of beams in this case, have the largest contributing area, so if we design for this condition, it will adequate for all of our beams. The middle beam has a contributing area of 8SF times the total load of 60#/SF, or a load of 480#/LF (Lineal foot). A hem-fir 2x8 will support 316#/LF at L/360 if pier supports are spaced at 6' o.c. so we need a doubled 2x8 beam for this center row of two beams. Since the outside beam rows have half the contributing area, they have half the load, and could possibly use a single 2x8. But that would only be true for a deck. Here we have walls and a roof sitting on these beams, so a double 2x8 should be used here as well. In fact, the first row of joists on each 16' end should also be 2 2x8's.
So you end up with 3 rows of piers spaced 8' apart and with piers spaced 6' apart along the beams. A total of 15 piers, which isn't unreasonable for this size structure.
Bill