Someone inquired, so I'm leaving a reply.
A student visa can only be used by the individual. Therefore, it is not possible for a father to apply for a family visa while in student visa status.
If there are no special income-generating activities in Indonesia, I recommend a socio-cultural visa for your family.
For detailed information on the socio-cultural visa, please search for "socio-cultural visa" in the search bar. It is located in the information sharing section.
Visas that allow for family visas are generally investor visas (KITAS) requiring corporate establishment or foreign worker visas (KITAS).