How to achieve 100ohm impedance for HDMI differential pair on FR4?
You are missing the most important parameter here, which is the thickness of the dielectric between the layer 1 and 2 and the one between layers 5 and 6. 

The only ones who can help you is the PCB manufacturer, who will give you these values based on what material they have in stock. The alternative is for you to specify the thicknesses, but it is most likely to cost you much more and take much longer, if the manufacturer doesn't have the material in stock.

Once you have these values, you can calculate the tace widths with free tools such as Saturn's PCB toolkit.