Let $A_1,A_2,A_3\mathrm{........},A_{12}$ be the vertices of a regular dodecagon that lie on a circle with  center at (0,  0) and radius 5 units. Let P be a point on the circle and $P{A}_i$ denote the  distance between the points P and $A_i$ for i=1, 2,..., 12. Then the maximum possible  value of the product ${\left(\left(\prod _{r=1}^{12}\left(P{A}_r\right)\right)2^{23}\right)}^{\frac{1}{12}}$ is equal to