After studying this case a bit (I've attached a picture of the area of interest), I don't think the anitpad distance should be overridden.
The antipad clearance is about limiting heat-transfer away from the pad; it has nothing to do with electrical connection. Two pads from the same net will transfer heat away just as fast as two pads from different nets.
If that's not an issue, then the antipad distance can be decreased.
After studying this case a bit (I've attached a picture of the area of interest), I don't think the anitpad distance should be overridden.
The antipad clearance is about limiting heat-transfer away from the pad; it has nothing to do with electrical connection. Two pads from the same net will transfer heat away just as fast as two pads from different nets.
If that's not an issue, then the antipad distance can be decreased.