Too Complex to Solve!!

Algebra Level 5

If z1,z2,z3z_1,z_2,z_3 are complex numbers\text{complex numbers} such that z1=2|z_1| = 2, z2=3|z_2| = 3 and z3=4|z_3| = 4 Find the maximum value of z1z22+z2z32+z3z12|z_1-z_2|^2 + |z_2-z_3|^2 + |z_3-z_1|^2

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