Peacock is developing the murder mystery series “Keep Your Friends Close,” Variety has learned exclusively. The project hails from writer and executive producer Leo Richardson. Garcelle Beauvais will also executive produce, along with FilmNation. Universal Television is the studio. The logline for the show states, “When the president of the West Hollywood Mom’s Club is found murdered, all of her friends and members become key suspects. A jaded detective uses every trick he knows to outsmart the killer.” Richardson was most recently a co-executive producer on the popular Hulu series “Tell Me Lies.” He is also known for his work on shows like “You” at Netflix, “Katy Keene” at The CW, “Star” at Fox, and “Eastenders” for the BBC. He is currently the creator and executive producer for three series in the works. Along with “Keep Your Friends Close,” he also has the dramedy “Marbs” set up at ITV and 43 as well as the YA series “Nightshade” at Amazon UK.…