For nonnegative integers \(n\) and \(d\), let \(A(n,d)\) be the maximum cardinality of a binary code of length \(n\) and minimum distance at least \(d\). We consider a slight sharpening of the semidefinite programming bound of Gijswijt, Mittelmann and Schrijver, and obtain that \(A(18,8)\leq 70\).