RandomGraph[WattsStrogatzGraphDistribution[40,0.05,5]]

GlobalClusteringCoefficient[%]

{graphs,coeffs}=Transpose[SortBy[{#,GlobalClusteringCoefficient[#]}&/@RandomGraph[WattsStrogatzGraphDistribution[30,0.1,3],{10000}],Last]];

min=Min[coeffs];max=Max[coeffs];

nf=Nearest[coeffs->graphs];

values=Range[min,max,(max-min)/(4^2-1)];

Grid[Partition[Map[SetProperty[First[nf[#]] 1,{VertexStyle->Directive[White,EdgeForm[White]],EdgeStyle->White,Background->ColorData[{"SolarColors","Reversed"},Rescale[#,{min,max}]],ImageSize->{100,100}}]&,values],4]]