Maximum sum of pairwise coprime numbers up to 30

Among all subsets of $\{1,2,\dots,30\}$ in which every two elements are relatively prime, find the one whose elements add up to the most. What is that maximal sum?

193. Start from $1$ and all primes up to $30$ (sum $130$), then merge small primes into larger composite numbers built from them: $2,7\to28$, $3\to27$, $5\to25$. Keeping $1$, the primes from $11$ to $29$, and $25,27,28$ gives $193$, and an exhaustive search confirms nothing larger.