Of course the DPD (Department of Planning and Development) would not approve that! They don't exist anymore, and can't approve anything! :happyno:
Now, if you want to deal with the DCI (Department of Construction and Inspections, the successor to DPD), then I would say that you need to supply more information. What is the nature of the installation? What is the wire type and insulation rating? What is the calculated load? Are you following the installation pattern of the 1-, or 3-, or 6- duct configurations as shown in the details cited in the table? What value of thermal resistivity are you using, and what is your basis for using that value? Are you within the limits described at the top of the table (e.g., three conductors, 75C wire, 20C ambient)? Are they calling for you to provide a drawing that bears a PE seal and signature?
Oh by the way, why would you want to use that table anyway? The ampacity values it gives us are lower than those of 310.15(B)(16).