The post-mortem examination has been completed but the results would not be released.
Inquiries have focused on identifying and interviewing witnesses and scene examination by ESR scientists.
A 43-year-old sickness beneficiary from Tauranga has been arrested for alleged assault.
Mr Turner said the investigation would be reviewed with the Crown Solicitor before a decision was made on the appropriate charges.
"As the matter is before the courts, police will make no further comment."
Police want to speak to anyone who might have been in 4th Ave, Tauranga between 6pm and 10pm on Tuesday.
Anyone with information is asked to contact Tauranga police on (07) 577 4300.