As in the famous example of "Prisoner's Dilemma" like this
If the potential function is defined as: (V(q,q), V(q,c), V(c,q), V(c,c))
q = quiet, c = confess, V is the potential.
So should the order be: V(q,q) > V(q,c) = V(c,q) > V(c,c)??
EX: (3,1,1,0)
Am I correct?
The potential for the unique pure Nash equilibrium should be the lowest potential value, not the highest. This is because the utilities correspond to costs (as noted by jmbejara in the comments to the question).
For this game the following matrix corresponds to a potential $P$, which should be minimized since the utilities in the original game are costs: $$P=\left( \begin{array}{cc} 0 & 4\\ 4 & 6\\ \end{array} \right).$$ In fact $P$ is an exact potential, since the change in the potential for a deviation is equal to change in the deviating player's utility. For example when player one switches from (Stay quiet, Stay quiet) to (Confess, Stay quiet), his utility increases by 2.