Petaloid smocking is made of cloths by sewing and flattening pleats to create shapes over the surface. We have proposed a design framework for combinatorial petaloid smocking by preserving labels of fold lines in crease patterns. However, besides rather limited size of cloths, it was difficult to design flat foldable crease patterns for large size of cloths. This paper proposes to define twist fold modules for petaloid smocking, and to design crease patterns by joining the modules. We show geometric characteristics of crease pattern based on the defined modules, and propose a design framework for combinatorial design of petaloid smocking based on the tiling of the joined modules. By designing crease patterns with GeoGebra, the proposed approach is validated via clothes making decorated with petaloid smocking.