Following a $28.8 million public offering, Boston Private Financial Holdings Inc.'s largest investor is making an additional investment in the company.

The $6 billion-asset Boston Private announced Monday that an affiliate of the Carlyle Group would invest $6.3 million in it, paying $5.81 per share.

The private-equity firm is Boston Private's largest shareholder. Carlyle owns 9.98% of the company, according to filings with the Securities and Exchange Commission, following a $75 million investment in 2008.

On Monday, Boston Private closed its $28.8 million stock-raising effort, which was priced at $6.10 per share. Boston Private also repaid the remaining $104 million investment made by the Treasury Department as part of the Troubled Asset Relief Program. Boston Private was issued $154 million via Tarp, and had redeemed $50 million of the investment in January.

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