Last November, the New York Choreographic Institute celebrated its tenth anniversary with a selection of works from some of its most prized and most promising alumni. Alexei Ratmansky, Christopher Wheeldon, and Larry Keigwin— each a brand name in his own right—presented new works set to the same piece of music, and a collection of principal dancers from New York City Ballet performed that evening. And yet, the night’s highlight was “Tales of a Chinese Zodiac,” danced by teenage students from the School of American Ballet and crafted by Justin Peck, a young City Ballet dancer who started choreographing only in 2009.