I think that I've got it, but it's very non-intuitive. You have to set the differential pairs as a net class, then set the minimum and nominal spacing for the class.
What I'm concerned with at the moment is the impedance for the pair.
https://www.digikey.com/en/resources/conversion-calculators/conversion-calculator-pcb-trace-impedanc...
which is determined by trace width, the spacing between the pair, the dielectric impedance of the substrate, and the height of the trace above the ground plane (the latter two items determined by the rules obtained from the board manufacturer). Ideally, I'd be able to set the desired impedance and Fusion would calculate the trace width and/or spacing. Next best thing is that for each pair I can set the width and spacing in the "Route Differential Pair" box.
Another related point is that when running a trace, the connector at the other end is not always ideally laid out. 
In this board, the specified impedance for the MIPI pairs is 100 Ohms, which translates to a 12 mil trace width and an 8 mil spacing. The problem is that the connector pads are only 8 mils wide themselves, which gives all kinds of errors when I try to start the pairs right at them. As in the screenshot, I had to run a short 8 mil stub out for the trace to attach to. This may or may not be the optimum way to solve the problem. (If I make the pair traces 8 mils wide, the spacing is only 4 mils). When I do this, though, when I try to start the differential pair at the stub, Fusion naturally reset the trace width to 8 mils! I had to go through some annoying contortions to get things attached and scaled properly. There has to be an easier way to do this.