IDCAMS Utility can be used to create a GDG base, as well as deleting an existing base.
Define a GDG base:
//STEP01 EXEC PGM=IDCAMS //SYSPRINT DD SYSOUT=* //SYSIN DD * DEFINE GENERATIONDATAGROUP (NAME(gdg.base) - NOEMPTY SCRATCH LIMIT(4)) /*
Delete/Purge a GDG base and all the included files:
//STEP01 EXEC PGM=IDCAMS //SYSPRINT DD SYSOUT=* //SYSIN DD * DELETE gdg.base GDG FORCE /*
Delete/Purge a GDG base (base only, there should not be any versions):
//STEP01 EXEC PGM=IDCAMS //SYSPRINT DD SYSOUT=* //SYSIN DD * DELETE gdg.base PURGE /*
Learn more on GDG bases