This will depend on your country and of course on your mains voltage.
In New Zealand, 230v AC, 60 Amp would be a common mains fuse for a residence.
Minimum
For a service rated at 400 amps using 500 MCM THHN copper conductors, the minimum size for a copper grounding electrode conductor (GEC) can be determined using the National Electrical Code (NEC) guidelines. According to NEC Table 250.66, for a service of 400 amps, the minimum size for a copper GEC is 4 AWG. However, if the GEC is connected to a ground rod, it must be a minimum of 6 AWG copper.
There is no minimum height specified by the NEC.
No Article 210 in the NEC
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The NEC grounding table provides information on the minimum size of grounding conductors based on the type and size of electrical equipment being used.
The minimum size conductor for industrial branch circuits is typically addressed in Article 210.19(A) of the National Electrical Code (NEC), which provides guidance on conductor sizing for branch circuits. It's important to refer to the specific version of the NEC that is currently adopted in your location, as code requirements may vary.
NEC 310.16 conductor ampacities NEC 240.4(D) For residential installations the smallest wire to be used is 14 AWG (15 amps rating) and for commercial installations the smallest wire to be used is 12 AWG (20 amp rating)
The NEC wire gauge chart provides information on the recommended wire sizes for different electrical applications based on factors such as current capacity, voltage rating, and insulation type.
The National Electrical Code (NEC) permits a minimum wire size of 14 AWG for general lighting and receptacle circuits in parallel installations.
By today's NEC standards, all kitchens are required to have to have a minimum of two 20 amp circuits.
I assume your sizing the 20 amp from the breaker? NEC 240.3 states minimum conductor size for the rated ampacity of the circuit breaker. In this case, minimum size for 20 amp breaker is 12 AWG. I assume you are wiring a motor? I suggest you size your over current in accordance with NEC, start reading around NEC 430.