You could purchase a death printout (cheaper, may contain more information than a certificate and can be e-mailed to you).
A list of the information provided (if known by the informant).....
Death Registration (post 1998) or Updated Record - Data Printout Fields
• Registration number and date of registration (if updated - date of change)
Deceased
• First names
• Surname
• First names (B) (at birth)
• Surname (B) (at birth)
• Date of death
• Place of death
• Causes of death
• Certifying Doctor
• Date last seen
• Sex
• Birth Date
• Age at Death
• Birth Place
• Number of years lived in New Zealand
• Home Address
• Occupation
• Ethnic Groups
• Maori Descent
Date of burial or cremation
• Place of burial or cremation
• Age of each living daughter
• Age of each living son
Deceased's Mother and Father
• First names
• Surname
• First names (B) (at birth)
• Surname (B) (at birth)
• Occupation
Relationship(s)
• Relationship status at time of death
• Relationship type
• Age of deceased at event
• Place of marriage/civil union
• First/given name(s) of spouse or partner
• Surname/family name of spouse or partner
• Sex
• Age (if living)
Person Registering Death
• Description
• Name
• Address
https://www.bdmhistoricalrecords.dia.govt.nz/search/search?path=%2FqueryEntry.m%3Ftype%3DdeathsMinniehaha.