Everyone living there, from the security guards at the gate to the gardeners, was Afrikaans, the newspaper reported.
The Gauteng legislature's portfolio committee on community safety was reportedly told last year that black police officers were not being allowed inside the enclave.
Its controlling body's chairperson Jan Groenewald told The Times that a resident had to be "an Afrikaner with Voortrekker heritage, a Protestant Christian and abide by the Blood River covenant".
"We do not think in terms of race, we think in terms of culture... [but] you cannot ignore the fact that we have different races. That is the reality," he was quoted as saying.
Its residents included the leaders of several rightwing groups, but they were kept in line by the community's directors, he reportedly said.
"We do not fly the South African flag because [South Africa] is a unitary state - the reason we find ourselves in this situation."
According to The Times, Groenewald said the community would lobby the Tshwane municipality for the settlement to be declared independent.
"Eventually, the African National Congress government will have to approve what we are doing here."