From what I experienced in the other beta phases, it seems they allow you to start another storyline quest every 10 levels. So try going back when your class rank is level 10 and Momodi should give you another.
Serge Luminaire of Mysidia
Member of Blades of Valor
~ A FFXI/FFXIV Linkshell Community
Retired from FFXI - EliteSerge of Valefor
Mains: 75 WHM, 75 PLD, 72 NIN, 72 THF