Voltage spreading to resistors network
You have measured the impedance matrix (Z-matrix) of the device.  If you invert the matrix, you will have the admittance matrix  (Y-matrix) of the device. The Y-matrix will have positive entries on the diagonal and negative numbers for the off diagonal. You are familiar with resistance.  The name for the inverse (1/R) of a resistor is an "admittance". Think of every row,col of the Y matrix as representing a node of a circuit. For the Y matrix, the off diagonal entries are the negative of the admittance between the nodes.  The diagonal entries are the sum of the all the admittances connected to the node; (that is all the admittances between the node and the others plus the admittance from the node to ground).  So, you should use MATLAB or some program to invert the matrix.   Then use the off diagonal entries to find the resistors between the electrodes. Any extra admittance in the diagonal entry is a resistor from that electrode to ground.