Non-existence of (76,30,8,14) strongly regular graph
  We prove the non-existence of strongly regular graph with parameters $(76,30,8,14)$. We use Euclidean representation of a strongly regular graph together with a new lower bound on the number of 4-cliques to derive strong structural properties of the graph, and then use these properties to show that the graph cannot exist. 
A. V. Bondarenko, A. Prymak, D. Radchenko
math.CO