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.