The nuclear level structure and electromagnetic properties of ~96pt were investigated with y-spectroscopic techniques using multiple Coulomb excitation by 2~ projectiles. Particle-% and particle-y-y coincidences were measured over a wide range of scattering angles. E2-transition moments and static quadrupole moments have been determined by a comparison of experimental scattering-angle dependent y yields with calculated yields in a largely model-independent procedure. The results are compared with different theoretical models: the Asymmetric-Rotor Model, the Generalized Collective Model, and the Interacting Boson Model. The best agreement is obtained with the Generalized Collective Model representing a triaxial nucleus which is soft in the y degree of freedom.