Jelly, 87 bytes
R‘p`*p`‘*/Þḣ Port of my Vyxal. -1 thanks to ovs.
R‘p` Cartesian 2...n+1 product with p`(implicit) range from 1 to self Cartesian product‘ with self Increment anything Þ Sort by... / Reduce by... * Exponentiation ḣ Get first n.