The coring size will differ depending on the manf., but the cores serve 2 purposes. First is it allows even firing on the clay mass. The face shell (distance from the edge of the core to the face of the brick) is about 3/4". The distance between each core will be roughly about 3/4" (that dimension will differ depending on the manf.) Having a balanced clay mass evens out the temp. of the brick during firing and avoids a "banana" configuration that results in uneven firing.
The 2nd reason is it reduces the weight of the unit, taking less clay to make and saving costs (and less cost to ship).
The 3/4" dia. cored hole is too small for reinf, that's why there is "clay block" as I call it...or Hollow Clay Masonry. There are a few plants in North America that make these types of units...Interstate Brick (Utah), Mutual Materials (Washington state), Summit Brick (Colorado), Carolina Brick (North Carolina) and a Canadian company called IXL.