For some \( n \neq 10 \), let the coefficients of the \( 5^{\text{th}} \), \( 6^{\text{th}} \) and \( 7^{\text{th}} \) terms in the binomial expansion of \( (1 + x)^{n+4} \) be in A.P. Then the largest coefficient in the expansion of \( (1 + x)^{n+4} \) is: