HDMI to DVI with this resolution does not work without an active converter. The adapter cables are all passive single-link cables, regardless of whether they have 24+1 pins or not, because they only transmit the HDMI signal to 1 link - so 1920x1080 is the highest resolution you can get with 60Hz. If you lower it to 30Hz (if necessary with CRU), it should work with 2560x1600.
Since your notebook has USB-C with DP/Alt mode, I would try this:
Delock USB-C to DVI-D (1m, USB C, DVI) - this converts the signal directly, thanks to USB-C power supply, nicely compact in 1 cable.