设\(S_{n}\)为等差数列\(\{a_{n}\}\)的前\(n\)项和，已知\(a_{1}+a_{13}=26\)，\(S_{9}=81\)．

\((\)Ⅰ\()\)求\(\{a_{n}\}\)的通项公式；

\((\)Ⅱ\()\)令\({{b}_{n}}=\dfrac{1}{{{a}_{n+1}}{{a}_{n+2}}}\)，\(T_{n}=b_{1}+b_{2}+…+b_{n}\)，若\(30T_{n}-m\leqslant 0\)对一切\(n∈N^{*}\)成立，求实数\(m\)的最小值．