Seventeen-year-old Tayla Alexander died in the crash in November.
Her sister Sunmara died on her 16th birthday in hospital after suffering critical injuries and extensive burns from the crash.
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Their father, Jason Alexander, delivered a petition to the city council asking it to make the road safer last month.
Now city councillor and chairman of the urban development and transport committee Mike Davidson says closing parts of the road at night could be a possibility.
"But I personally think we need to look at the whole of Summit Rd because the stretch has parts which, if driven at speed, can be dangerous.
Cr Davidson said any changes to Summit Rd would require public consultation.
The city council consulted on the Summit Rd speed limit last year and decided to reduce the limit from Godley Head to Gebbies Pass Rd from 100km/h and 70km/h to 60km/h.
It decided against imposing any restrictions to access.