We give a recipe for constructing families of distinct knots that have identical Khovanov homology and give examples of pairs of prime knots, as well as infinite families, with this property.
"Knots with identical Khovanov homology." Algebr. Geom. Topol. 7 (3) 1389 - 1407, 2007. https://doi.org/10.2140/agt.2007.7.1389