  We provide evidence for the existence of a new strongly-coupled four
dimensional $\mathcal{N}=2$ superconformal field theory arising as a
non-trivial IR fixed point on the Coulomb branch of the mass-deformed
superconformal Lagrangian theory with gauge group $G_2$ and four fundamental
hypermultiplets. Notably, our analysis proceeds by using various geometric
constraints to bootstrap the data of the theory, and makes no explicit
reference to the Seiberg-Witten curve. We conjecture a corresponding VOA and
check that the vacuum character satisfies a linear modular differential
equation of fourth order. We also propose an identification with existing class
$\mathcal{S}$ constructions.
