"Every new case is an urgent reminder to get tested if you're feeling unwell," said the Ministry in a statement. "Testing at high numbers will help to minimise and contain the spread of Covid-19 in Christchurch."
The Ministry also said vaccination clinics in Canterbury have plenty of capacity this weekend.
Under current rules for travellers, a person can use public transport, including domestic flights, when moving from MIQ facilities to home isolation.
International arrivals must spend seven days in MIQ. After that, they must self-isolate until a negative Day 9 Covid test is returned.
The ministry urged people to reach self-isolation locations as soon as possible without stopping.
And although authorities recommend private transport, public transport is allowed if a private trip is unavailable.
Anybody moving from MIQ to home isolation by taxi, plane or other public transport is meant to wear a face mask at all times.
The ministry's website said people could remove face masks "briefly" to eat or drink.
People leaving MIQ on public transport are also urged to maintain physical distancing where possible from people outside their bubble, to wash hands frequently, and to use the Covid-19 tracer app.