Although I am not a bead weaver as such this is a nice turtorial provided by Beading Daily, you can subscribe to their free newsletter with this link,
This technique could be done with a 28-30 gauge dead soft wire instead of the beading string. Enjoy! D.
The trickiest part of circular brick stitch is fitting the right number of beads in a flat circle for each concentric round. Don't try to squeeze in too many beads, or the shape may buckle into a ruffle (which is nice only if you want it that way). For a flat circle, spread out your stitches neatly and evenly around the circle
1: Pass through the central bead twice, placing the two thread loops on either side of the bead. The brick-stitched beadwork will attach to these base threads. You want them strong.
4: Repeat around your center bead, spacing the beads to fit evenly. In this lesson, 8 green beads fit nicely around the center round black bead; string bead 8, pass under the thread loop and back up through bead 8. Pass down into bead 1, under the thread loop, and exit out bead 1 again, ready to start a new row. Continue, starting each new row with 2 beads.