Based on the 223.7 million estimated fully diluted shares of Twitter listed by Sharespost on its site, the deal would suggest a valuation of roughly $7.7 billion, Reuters estimates. Secondary markets, which let qualified investors trade shares of privately held companies, have recently surged in popularity as speculators clamor to get in on the next big tech IPO. Likewise, an investment firm last week reportedly bought 2.5 million Facebook shares on a secondary market in a deal valuing the company at $65 billion.