Sometimes it helps to reboot and/or (re) start the SwitchResX daemon (on the “About SwitchResX” tab IIRC) to get SwitchResX to activate a mode. I have to do that quite often on my systems.
If that doesn’t work, the pixel clock may be too high. Try creating a new mode but select “Use simplified settings” and “CVT-RB v2” this time. Enter 4096 pixels, 2304 lines and 59 Hz vertical scan rate. Can you activate that mode? If you can, test it by selecting it on the “Current Resolutions” tab. If you can’t, reduce the vertical scan rate to 58 Hz and retry. If it still doesn’t work, try 57, 56, etc. until it works. You can have two custom modes in the unregistered version of SwitchResX which speeds up testing a bit.