Place stemmed figs and water in a small heavy bottomed saucepot. Set over medium heat and bring to a boil. Reduce to a simmer and allow figs to soften, about 10 to 15 minutes. Drain figs and discard water.
In the bowl of a food processor, combine warm figs, chocolate, cocoa powder, powdered sugar, butter, vanilla, and salt. Process until mixture resembles jam. Scrape down bowl as necessary to ensure thorough mixing. Allow mixture to cool slightly before adding egg whites. Pulse 2 to 3 times until egg whites are just incorporated. Transfer to an airtight container and keep chilled in the fridge until assembly.
Assembly: Working on a lightly floured surface, roll chilled dough to an 18x14-inch rectangle. Reserve about 2 tablespoons of chocolate fig filling. Spread remaining filling over dough, leaving a ½-inch border around the edges, so that it doesn’t ooze out. Beginning at the longer end, roll dough into a tight cylinder. Pinch the seams closed.
With dough seam side up, spread the reserved filling over the seam. Bring one end of dough over to the other end and then pinch the ends together, thus sandwiching the filling, to create a log. You’ll see some filling on the outside.
Gently twist the log, left hand going one way and right hand going the other, until it resembles a figure eight with swirls of filling peeking through. Place twisted roll in a greased 9x4-inch loaf pan. Gently press dough to distribute it to the edges of the pan. Loosely cover with plastic wrap. Let dough rest at room temperature until dough is level with the lip of the loaf pan, about 70 minutes.