How can I plot a brain connectivity network?

I’m studying connectivity patterns of EEGs and I need to plot a network/graph. The data of connectivity strengths are 4x4 matrices whose values represent the strengths of links between electrodes/brain regions. I have 4 electrodes. My plot should have these features:
- Circular nodes with the names of the electrodes written inside them; 3 vertical arranged (one below the other) and the forth on their left or right to simulate their organization on the brain left/right hemispheres.
- Arrows linking the nodes in both directions ,not overlapping, whose colors are proportional to the strength of the connection between the nodes/electrodes, as specified in the matrix. No need the arrows are straight.
I’ve never worked with this kind of graphs so I don’t have a clue how to plot this. Any suggestion, especially about how to plot the "raw" graph with circular nodes and not-overlapping arrows? Is there any already implemented package/ function which can more or less do this?
Thank you in advance

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