Cramer: If CEO Costolo stepped down, Twitter would be at $55

Twitter may be better off if its CEO stepped down, CNBC's Jim Cramer said Thursday.

In a series of tweets, the "Mad Money" host fumed about Twitter's slide in share price this week and pointed to CEO Dick Costolo for the mess.

Twitter was trading at $41.46 a share Thursday afternoon. Shares are down 19 percent this week alone.

Cramer also tweeted that "Twitter in chief" may be a better title for Costolo, who became CEO in 2010.

He then tweeted that he was "furious about the huge decline" and said the Jim Cramer Charitable Trust, which was long on the company, now wants "to buy down here." Jim Cramer and CNBC contributor Stephanie Link are co-portfolio managers for the trust.

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Although Twitter on Monday posted earnings that met analyst expectations, shares for the company dropped 10 percent in after-hours trading.

Cramer criticized Costolo's handling of Twitter's earnings call, saying that the CEO had nothing to say for himself. "Unlike (Yahoo's Marissa) Mayer, who gave a very good defense of what she's done, I found CEO Dick Costolo incoherent on the call," Cramer said Tuesday.

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The departure of two key company executives this week may fuel more uncertainty for investors. This is the latest in a series of company leaders who have left.

A Twitter representative did not return a CNBC emailed request for comment, and Costolo's Twitter page had no reply to Cramer.