Somehow I am suspecting it is because you did something in both tanks, like used the same tool (turkey baster), net, etc or put your hand in the tank and then the other tank and it spread that way. Dino doesn't just magically jump from tank to tank.... either does hair algae (which I spread from one tank to another by doing something similar)
This time.. after 3 days if it doesn't help, go drastic fast. Take out all the corals into a rubbermaid tub, I would do a revive dip on them at that time as a "just in case" measure since they are out, and just go super crazy cleaning out the tank, equipment, rocks. Wipe down things like heaters with a paper towel soaked in vinegar, run powerheads in a bucket with water/vinegar mix, toss out the sand and replace, and if you want to save your rocks, setup several buckets with saltwater and take out a rock at a time and as long and violently as you can shake the rock in each of the buckets to get it cleaner in each one... it sounds like a major pain, but luckly 14g isn't that big and if you start early you can be completely done within a very long day.