It seems that your calculation is correct, if so, the reaction is spontaneous...in aqueous solutions. In terms of enthalpy, it is endothermic.
This case is a bit confusing, because in terms of enthalpy, we are predisposed to say that all formation of bonds are exothermic, while the breakage is endothermic, as movies implied. In constrast one might believe that because the bonds of diamonds are formed at higher temperatures, that the formation is endothermic. However, I believe that this would be due to entropical factors, which increase as temperature is raised. From a physical perspective, energy will always be required to break up nuclei attractions between atoms.
It all shows how little I know about this issue.