Let C0,C1,C2...,Cn be the binomial coefficients of the expansion (1+x)n, where n∈N. If Sn=22C0+622C1+1223C2+⋯+(n+1)(n+2)2n+1Cn+n+11+2(n+1)(n+2)1, then find the value of S6S7.
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