Abstract: The formation of long-range Rydberg macrodimers is attributed to electrostatic multipole interactions. We calculate the adiabatic potentials of cesium (n+2)D_5/2nF_J state Rydberg macrodimers with different principal quantum numbers n (n = 37~48) using the multipole interaction Hamiltonian. The adiabatic potential is formed by the avoided crossing coupling of the attractive potential from the interaction between (n+2)D_5/2 and nF_5/2 states and the repulsive potential from the interaction between (n+2)D_5/2 and nF_7/2 states, exhibiting a binding potential well, which should give rise to Rydberg macrodimer states. We Investigate the relationship between the adiabatic potentials on the maximal order of the multipole terms included in the calculation, and explore the impact of the two-body basis set size on the calculated adiabatic potentials. We determine the binding energies, V_\min , and lengths, R_\texteq, of the binding adiabatic potentials with the projection of sum of the electronic angular moment M, investigate their scaling behaviors as a function of the effective principal quantum number n.