I went ahead and made you a 320x320px grayscale brush with the inner transparent area 262x262px. I spaced it 100%. I zipped it. Download the zip file and unzip the brush into the /.gimp-2.6/brushes folder. Either refresh the brushes or close and reopen GIMP to find it in your brushes. It is called Ring Brush.
It will be whatever the foreground color is.
This is how you make a grayscale brush.
Open a new image, fill the background with white.
Make a new transparent layer, draw or make a black brush shape.
When your brush shape is finished, be sure that layer is selected, then
Image > Autocrop Image.
Right click the black brush layer and choose Flatten Image. (That removes the alpha channel)
Image > Mode > Grayscale
Save As > name your file - yours I saved as ringbrush.gbr. Be sure to put that extension on it.
Browse to /gimp-2.6/brushes folder and click Save.
This dialog will come up. It shows what I saved the ring brush as.