27.已知数列{an}\{a_{n}\}{an}的前nnn项和为SnS_{n}Sn,a1=1a_{1}=1a1=1,Sn+1=2Sn+2n+1{S}_{n+1}=2{S}_{n}+{2}^{n+1}Sn+1=2Sn+2n+1,n∈N∗n\in N^{*}n∈N∗.(1)求数列{an}\{a_{n}\}{an}的通项公式;(2)设bn=Sn3n{b}_{n}=\frac{{S}_{n}}{{3}^{n}}bn=3nSn,{bn}\{b_{n}\}{bn}的前nnn项和为TnT_{n}Tn,若对任意的正整数nnn,不等式Tn>m2−m+727{T}_{n}>\frac{{m}^{2}-m+7}{27}Tn>27m2−m+7恒成立,求实数mmm的取值范围.