Thermal, mechanical structural, and optical properties of the 80TeO2-xZnO-(20-x)Na2O (TZN) system were investigated. The structural study of the glasses showed that in the TZN system, the zinc had a coordination and hence a behavior change in the tellurite matrix as a function of the concentration. Those results were correlated to the elastic properties of the glasses, like the Young modulus, the shear modulus, and the Poisson ratio, thermal properties with the index of thermal stability and the crystallization behavior and the optical properties of refractive index which presented nonlinear evolutions as a function of the ZnO concentration. An in-depth study of the Boson peak is proposed with a study on the correlation length, here named as the blob size, performed from its evolution and the evolution of the mechanical properties.