Let $p_1,...,p_n\in\mathbb{P}^3$ be general points, and let $\Delta\subset\mathbb{P}^3$ be a general surface of degree $d$ with points of multiplicity $m_i$ at $p_i$ for $i = 1,...,n$.

Consider the blow-up $X$ of $\mathbb{P}^{3}$ at $p_1,...,p_n$ and the strict transform $\tilde{\Delta}$ of $\Delta$. For which $d,m_1,...,m_n,$ is $(X,\tilde{\Delta})$ a klt pair?

For instance $m_1 = ... = m_2 = 0,1$ will work, and I guess $m_1 = ... = m_2 = 2$ as well.