A line has the equation \(y = kx + 6\) and a curve has the equation \(y = x^2 + 3x + 2k\), where \(k\) is a constant. For the case where \(k = 2\), the line and the curve intersect at points \(A\) and \(B\). Find the distance \(AB\) and the coordinates of the midpoint of \(AB\).