Also,
If you start at ~2.6 hours per day, that is 156 minutes.
Once you begin to increase the photoperiod, after at least a week, I would not increase it more than about 10% per week.
That would mean;
156 min X 0.1 (that's10%) = 15.6 minute increase per week
In round numbers, you could start out at 2 1/2 hours, then increase by 15 minutes each week. This will work as long as you keep the amount of light below the photoinhibition limit of the corals you have.
Photoinhibition is the amount of light which, if exceeded, will begin to harm the corals.