Aleix,
Thanks for the extra information. Can you share some more information about the application? I'm curious why differential non-linearity was one of the specifications that is a priority for you guys, rather than integral non-linearity. Historically DNL was really the stand-out specification to imply no missing codes or monotonicity. Since most modern 16-bit devices do not have missing codes are and are monotonic, I usually see INL as the priority specification or customers that simply specify a total error term that is inclusive of offset, gain, and linearity errors.
DAC8831 is a good choice if you can accommodate the external amplifier. It also does not have an internal reference, so you'll have to provide an external solution there as well. I can help with that if you'd like to pursue that path.
I'd like to nominate a few alternatives for you to consider as well.
For devices that have internal references and access to those internal references outside of the package, you can easily scale the output to a bipolar output with a single amplifier and three resistors. This could save you some components since you don't need to provide a reference solution like you would with the DAC8831. This is outlined in TI Precision Design 125: Bipolar +/-10V Output from a Unipolar DAC for Industrial Voltage Drivers using the DAC8560 and OPA188 as an example. DAC8560 is probably the best option for this path in your case, and you have many choices for amplifiers. I'd nominate OPA192 (e-trim instead of chopper amplifier, bit more expensive) and OPA170 (small package and cost if those are concerns) in particular. I also make a few other suggestions in the TI Precision Design document you can explore.
If linearity performance is a very high priority, I would encourage you to consider using a MDAC in a four-quadrant configuration. This solution is a bit larger since it uses more components (two amplifiers for the output stage, external reference solution) but will deliver the best overall performance. Again, this is outlined in a reference design called TI Precision Design 137: +/-10V Four-Quadrant Multiplying DAC.