Asymtotic bound for recurrence of $T(n)=2T(n/2)+ \sum_{i=0}^{n} (i+2)^2$ using substitution

What can be an initial guess for finding the tight asymptotic bounds of $$T(n)=2T(n/2)+ \sum_{i=0}^{n} (i+2)^2$$ using substitution method?