Groups acting properly and cocompactly on 2D Euclidean buildings have the normal subgroup property, so their non-residually finite lattices are virtually simple and yield the first simple lattices on irreducible Euclidean buildings.
Pesin, Lectures on partial hyperbolicity and stable ergodicity, Zurich Lectures in Advanced Mathematics, EMS Press
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The Normal Subgroup Theorem for lattices on two-dimensional Euclidean buildings
Groups acting properly and cocompactly on 2D Euclidean buildings have the normal subgroup property, so their non-residually finite lattices are virtually simple and yield the first simple lattices on irreducible Euclidean buildings.