It said as of 11.30 pm on Tuesday, 381 people had been tested and that staff had been assigned to visit 140 households, eight of which did not answer the door.
Health officials sealed off the building on Tuesday after finding a couple of cases, involving a mutant strain, that were linked to the block.
On Tuesday, officials said they had been unable to trace 22 newly-confirmed coronavirus cases, after reporting that Hong Kong added 129 cases on Lunar New Year’s Day.
“I think the number of 22 unlinked cases is the highest so far since the fifth wave,” said Dr Chuang Shuk-kwan of the Centre for Health Protection.
Chuang said those with untraceable infections live across the SAR, including in Sai Ying Pun, To Kwa Wan, Hung Hom, Cheung Sha Wan, Sha Tin and Tuen Mun.
She added that officials had still been unable to find the source of infection for 98 cases.
On Tuesday, Serenity Villa in Tai Po Tau was also sealed off for mandatory testing, after sewage samples came back positive for the coronavirus. That lockdown is expected to end at about 9 am.