"A total of 11 people died on the spot, including a child and four women", Tiruvallur District Collector K Veera Raghava Rao told reporters at the site near Upparapalayam.
Among the victims, nine are from Andhra Pradesh while the remaining are from Tamil Nadu, he said.
The compound wall was constructed by a private warehousing company and its owners -- Ramanathan and his brother Balu -- have been arrested, district Superintendent of Police Saravanan said.
Jayalalithaa condoled the deaths and announced an assistance of Rs 2 lakh each for the next of the kin of the deceased and Rs 50,000 to the injured.
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The incident occurred eight days after an 11-storeyed building crashed at Porur, claiming 61 lives.
Meanwhile, Jayalalithaa announced formation of a Special Investigation Team headed by a Joint Commissioner of Police to probe the Porur building collapse.
The government has already announced a commission headed by retired Justice R Raghupathy to probe the June 28 mishap. Police have registered a case and arrested six persons in connection with the tragedy.