Anyone aged 60 to 74 can access an at-home test for free, but in the five years since the programme began, just 58% of those eligible have used them.
Aupito William Sio is promising to look into the ministry's process for granting disinterment licences.
The whānau of Matiu Sullivan still have no idea where his body is, after his girlfriend was granted a licence to exhume his body.
Tommy Murray’s wife was distraught when his body was taken from their Lower Hutt home.
His whānau took the body to be buried in Northland with his ancestors.