The incident was reported to the Metropolitan Police at 3.43pm on May 14 in Ladywell Fields.
The gunshots were heard by a number of people but no injuries were reported.
There have been no arrests at this stage, though detectives have now shared a picture of a suspect on a motorbike.
The image is understood to have been taken shortly after the gunshots were heard.
Det Insp Jordan Gardner said: “My team are following multiple lines of inquiry in this investigation, which I know has caused concern in the community.
“We are now asking the public to help us in identifying this suspect and are also asking if anyone recognises the pictured motorbike.
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“If you recall seeing it, either on the day of the incident, parked in a driveway or specific location, or know someone who may have been using it in recent years – please get in touch.”
If anyone has any information that can help, please contact the police on 101 quoting CAD5273/14MAY.
To remain anonymous, call the independent charity Crimestoppers anonymously on 0800 555 111 or visit crimestoppers-uk.org.
