Consider a linear map \phi from an operator system S to its matrix-ordered dual S^d. It is natural to ask if \phi could be both a complete order isomorphism and a complete norm isomorphism. The answer turns out to be negative since its cb-condition number is bounded below by 2. Based on Pisier's operator Hilbert space OH(n), we will introduce a self-dual operator system SOH(n) and see that its natural map minimizes the cb-condition number, among all operator systems S = S^d completely order isomorphically. We will then discuss few more properties of SOH(n). Finally we will turn to construct the gamma tensor product of operator systems using SOH(n).