I hate to discourage you, but that seems like some basalt type rock. In other words, very hard. Your not going to drill into it with anything less than a masonry bit or a diamond bit. That could work for the center hole. But your not going to be able to drill fine, say under 1mm, holes into it with any type of tool your likely to find at the hardware store. If you really want to make your own airstone that looks like a normal stone, get a block of soapstone, shape it with files and chisels, and drill fine holes onto it. They make super small carbide drill bits for putting holes in circuit boards that would probably do the job if you have a Dremel tool and a steady hand.