There are 26 opening patterns of renju. From this page you can find them all. For the most opening patterns you are also able to see the best and sometimes also some bad alternatives for the 5th move in the most usual variations.
Indirect openings 1-3 - -
Indirect openings 4-6 - -
Indirect openings 7-9 - -
Indirect openings 10-13
Direct openings 1-4 - -
Direct openings 5-7 - -
Direct openings 8-10 - -
Direct openings 11-13