The Brauer-Manin obstruction to local-global principles relies on the understanding of the Brauer group of varieties. In particular, the transcendental Brauer group is a cohomological invariant that lacks a general strategy of approach. In this talk, we present recent work computing the transcendental Brauer group for a family of K3 surfaces, constructed from a planar cubic curve in a similar fashion to Kummer surfaces. Finally, we explain the arithmetic implications predicted by Skorobogatov's conjecture.