Fish need a dark period to sleep, I wouldn't leave the light on for that long. Do you have any sump on the tank?
Having grown many types of macroalgae, it is very difficult to grow edible macroalgae in a tank with herbivores. Your best bet is to grow the algae in a separate tank, that can have enough light and nutrients to grow the algae well, conditions that fish would not necessarily do good in longterm. You can grow algae in as simple a setup as a 5 gallon bucket with airstone and clip on light. Just make sure to get the right kind of algae for the fish you have that will be eating it. I would start with gracilaria, many fish eat it readily and its pretty easy to culture. Red gracilaria is an awesome food for fish like tangs.