Digital Light & Color

The menu File could have an additional built-in item "New brush",
Whereby :

• the pixel sizes defaults to 2000 by 2000;
• the image type is 8-bit Grayscale -- or 16-bit?
• the image color is black
• the grid is a polar circular grid with N=2

The current File menu is very crowded and barely fits on a low resolution display.

You can set the File New defaults to this or save the File New settings as a named file which you can reload. Alternatively, just create a brush image that is all black and load it when you need it (saving as LZW TIFF will create a very small file). The grid is a global setting and should probably not be included.