We consider Fraternal Twin Higgs models where the twin bottom quark, b , is much heavier than the twin confinement scale. In this limit aspects of quark bound states, like the mass and binding energy, can be accurately calculated. We show that in this regime, dark matter can be primarily made of twin baryons containing b b b or, when twin hypercharge is gauged, twin atoms, composed of a baryon bound to a twin τ lepton. We find that there are significant regions of parameter space which are allowed by current constraints but within the realm of detection in the near future. The case with twin atoms can alleviate the tension between dark matter properties inferred from dwarf galaxies and clusters. *