What is the corallites’ structure? Does it close and can you get a picture of it? That would really help with the identification. Just for future reference, here is what they are with the common explanations.
Cerioid - The corallites are usually indented. Like you can feel the corallites’ structure that each coral polyp is coming out of, down inside the rock (or the "teeth" or septa from under or around the polyp). Thing is that the corallite structures usually share a wall between them. Kind of like Acanthastrea Lordhowensis.
Plocoid - Plocoid corallites are similar to cerioid corallites, only the corallites DO NOT share a wall. It's kind of like they built their own little hole for each one (polyp) to lie in. Like most brain corals that do not "swell up". Acanthastrea Enchinatas' are a good example, well kind of. They are more of Subplocoid. But looking at them, they can usually be told apart because each one of the polyps is seperate and in it's own corallite.
Phaceloid - Phaceloid corals are, uhhhhhh, LOL, most of the time like Torch Corals or Candycane Corals. Look like a tree and what not. The limbs of the corals branch off most of the time
Meandroid - These corals are where the polyps kind of look like they form valleys, run around the whole coral. The corallites usually form a running ridge around the coral. I don't think that the polyps are usually very "fleshy". They tend to not really swell up that much (I could be wrong though). A Maze Brain is kind of a good example.
FlabelloMeandroid - These corals are similar to Meandroid Corals. Just the valleys that house the polyps of the corals don't touch. It also seems to me that the polyps usually hang over much more. Examples of these are Fox Corals, Open Brain Corals, Elegance Corals, WALL Hammer Corals, etc.
If you could run your finger around the corallites when the polyps are deflated, see if WHAT the polyps lay in feels like it shares a wall between polyps or whether they are seperated, you should be able to identify from the list above. Just do it at your own risk since I, myself, have NO IDEA what the thing is. You don't wanna go getting stung by it.
The above has helped me a great deal. If I was looking at buying corals or frags or whatever, it would help me to know that like an Acanthastrea Lordhowensis is Cerioid. That way if I was about to spend 150 bucks on a coral I could feel along the corallites for the septa and see if the "holes" shared a common wall.