Large headless Xorg configuration

I’m trying to setup Xorg in headless mode with a 4K desktop on a Tesla M60. The Xorg configuration below gets clamped to 2560x1600.

Section "DRI"
    Mode     0666
EndSection

Section "Device"
    Identifier     "Device0"
    Driver         "nvidia"
    VendorName     "NVIDIA Corporation"
    BoardName      "Tesla M60"
    BusID          "PCI:5:0:0"
EndSection

Section "Screen"
    Identifier    "Default Screen"
    Device        "Device0"
    DefaultDepth    24
    SubSection "Display"
        Depth    24
        Modes     "3840x2160"
    EndSubSection
EndSection

Here is a section of the log file. It looks like there is a per-head max. Is there a way to increase this?

[1397673.587] (**) NVIDIA(0): Depth 24, (--) framebuffer bpp 32
[1397673.587] (==) NVIDIA(0): RGB weight 888
[1397673.587] (==) NVIDIA(0): Default visual is TrueColor
[1397673.587] (==) NVIDIA(0): Using gamma correction (1.0, 1.0, 1.0)
[1397673.587] (**) NVIDIA(0): Enabling 2D acceleration
[1397674.264] (--) NVIDIA(0): Valid display device(s) on GPU-0 at PCI:5:0:0
[1397674.264] (--) NVIDIA(0):     DFP-0
[1397674.264] (--) NVIDIA(0):     DFP-1
[1397674.264] (--) NVIDIA(0):     DFP-2
[1397674.264] (--) NVIDIA(0):     DFP-3
[1397674.265] (II) NVIDIA(0): NVIDIA GPU Tesla M60 (GM204GL-A) at PCI:5:0:0 (GPU-0)
[1397674.265] (--) NVIDIA(0): Memory: 8388608 kBytes
[1397674.265] (--) NVIDIA(0): VideoBIOS: 84.04.85.00.01
[1397674.265] (II) NVIDIA(0): Detected PCI Express Link width: 16X
[1397674.265] (--) NVIDIA(GPU-0): NVIDIA VGX (DFP-0): connected
[1397674.265] (--) NVIDIA(GPU-0): NVIDIA VGX (DFP-0): External TMDS
[1397674.266] (WW) NVIDIA(GPU-0): Mode (3840 x 2160) larger than per-head max
[1397674.266] (WW) NVIDIA(GPU-0):     resolutionsupported (2560 x 1600)
[1397674.266] (WW) NVIDIA(GPU-0): Mode (4096 x 2160) larger than per-head max
[1397674.266] (WW) NVIDIA(GPU-0):     resolutionsupported (2560 x 1600)
[1397674.266] (WW) NVIDIA(0): No valid modes for "DFP-0:3840x2160"; removing.
[1397674.266] (WW) NVIDIA(0):
[1397674.266] (WW) NVIDIA(0): Unable to validate any modes; falling back to the default mode
[1397674.266] (WW) NVIDIA(0):     "nvidia-auto-select".
[1397674.266] (WW) NVIDIA(0):
[1397674.266] (II) NVIDIA(0): Validated MetaModes:
[1397674.266] (II) NVIDIA(0):     "DFP-0:nvidia-auto-select"
[1397674.266] (II) NVIDIA(0): Virtual screen size determined to be 2560 x 1600
[1397674.268] (--) NVIDIA(0): DPI set to (92, 101); computed from "UseEdidDpi" X config
[1397674.268] (--) NVIDIA(0):     option
[1397674.268] (--) Depth 24 pixmap format is 32 bpp

Afaik 4k is only possible as vGPU in workstation profile, not on bare hardware.

Installing a GRID driver with a GRID/Quadro-Virtual-DWS license did the trick.