Hyperbola

Let \(H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1\), a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is \(4(2\sqrt 2 + \sqrt {14} )\). If the eccentricity H is \({{\sqrt {11} } \over 2}\), then the value of a² + b² is equal to __________.