If I well undestood the 13.8 kV switchgear is directly supplied from the Utility.
Usually 13.8 kV side of the supply transformer is delta connected so no single line- to- ground fault is possible.Only line-to-ground-to line it is possible.In this case if one phase conductor on Utility location will be grounded and another phase will be grounded in the switchgear then in the case of a line-to-ground-to-line fault , zero sequence fault current is:
Io=E*(R2+jX2)/(R1+jX1)/[(Ro+R2+3*Rf+j*(Xo+X2))]/[( R2+jX2)*(Ro+3*Rf+jXo)]
IEEE 80/2000 Formula (66) [Rf=Rg+Rgroundcable]
If R2=R1 X1=X2 [as “far from generator”] then Io=E/[(Ro+R2+3*Rf+j*(Xo+X2)+ Ro+3*Rf+jXo)]
If we shall put R2=R1=R0=0, X1=X2=Xo=0 then Io=E/[(3*Rf)+(3*Rf)]=E/(6*Rf).
Since R1,R2,Ro,X1,X2,Xo >0 obviously Io<E/(6*Rf) and GPR<E*Rg/(2*Rf)<E/2.
However, in the case of a single line-to-ground fault , zero sequence fault current is:
Io=E/(3*Rf+R1+R2+Ro+j*(X1+X2+Xo)) IEEE 80/2000 Formula (67)
It is obvious Io<E/3/Rf
GPR=3*Io*Rg<E/((Rg+Rgroundcable))*Rg<E
So, if the maximum voltage to ground will be 13.8/sqrt(3)=~8 kV GPR could not be more than 8 kV.
In order to protect the grounding cable you may use a pvc rigid conduit [even schedule 80] or a galvanized rigid steel conduit but in this case you have to bound it- with listed accessory-at both ends to the grounding conductor. The same proceeding with the insulation shield.