When can $\textbf{SpecMax}(R)$ be a scheme?

Question

Let $R$ be a commutative ring, and let $(\text{Spec(R)},\mathcal{O}_R)$ be the affine scheme associated to $R$.

Let $\text{SpecMax}(R)$ the subspace the $\text{Spec(R)}$ of the maximal ideals.

My question is if there exists any conditions on $R$ such that $\text{SpecMax(R)}$ have strucutre of a scheme?

Thanks