Controlled Edge Length in Spring Graphs?

I've been working on an approximately 6000 node graph using the svdp/gvmap pipeline - just the command that is described in the one gvmap gallery entry. In my graph, I create primary clusters intentionally by linking common nodes to a single node with invisible edges. These would generate what look like countries in gvmap. These clusters have many thousands of internal connections. These clusters are also connected to one another. The effect of these inter-cluster edges is that all they are pulled into the center of the image, looking like one large land mass.

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