First up is you are not going to find anything in the NEC about grounding grids because it is outside the scope of the NEC.
Grids are used primarily for two completely different purposes based around equipotential ground planes...
One industry that uses them is as you have observed is electrical generation using high voltage. The purpose of the grid is two fold. The most important is step-potential differences in the event of a ground fault, and the other is POCO uses earth as a conductor, something forbidden by the NEC. The size of the grid varies by the design objectives. I have seen grid distances vary from 10-foot centers up to 20-feet. Just about all utilities use 500 MCM for the cable. The size of the grid depends greatly on the spacing and layout of the yard and equipment spacing. The idea is to have the spacing as such all equipment structures and platforms can easily be bonded to the grid.
The other application for a grid is signal performance, lightning protection and shielding used by military, inelegance, and other forms of communications like telephone, data, and radio towers. In this case the grids spacing is determined by the frequency performance or cut off. Spacing can be from 8-feet where only low frequencies are concerned to millimeters where used as shields to prevent RF from radiating and eves-dropping.
So the answer to your question is there is no ?MAGIC BULLET? size, it is completely a design issue based on the objective and performance.