Both superior and supreme court refer to high level court but they are different.
THe supreme court of a state is the court of last resort in most jurisdictions which resolves cases in the last instance. The functions may differ depending on how the constitution regulates its role, but in all cases it is the highest judicial body of the relevant country.
Superior court: A higher level court which may act as a trial court in more complex matters, as well as an court with appellate jurisdiction in cases initially tried by the local court.