A search for large extra dimensions in the diphoton final state using the interpretation of the ADD model is presented. The analysis is performed using 35.9fbinv of data from proton-proton collisions during Run II of the Large Hadron Collider that was recorded by the Compact Muon Solenoid detector in the year 2016. The center of mass energy of the proton-proton system was 13TeV. Events from both data and the Standard Model diphoton background monte-carlo simulation are selected by a cut-based photon identification that has been tuned for photons with high transverse momentum. The simulated Standard Model diphoton events are corrected to NNLO precision by a k-factor calculated by MCFM. The contribution from events with one or two jets misidentified as photons is derived by a data-driven method. The observed data are consistent with the Standard Model. Limits on the ultraviolet cutoff parameter of the ADD model of large extra dimensions MS are calculated as a function of the number of extra dimensions n in the GRW, HLZ, and Hewett conventions for the dependence of the total cross section on MS. In the GRW convention, we observe a 95\% lower limit on MS of 7.6TeV.