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Chemically tagging groups of stars born in the same birth cluster is a majorgoal of spectroscopic surveys. To investigate the feasibility of such strongchemical tagging, we perform a blind chemical tagging experiment on abundancesmeasured from APOGEE survey spectra. We apply a density-based clusteringalgorithm to the eight dimensional chemical space defined by [Mg/Fe], [Al/Fe],[Si/Fe], [K/Fe], [Ti/Fe], [Mn/Fe], [Fe/H], and [Ni/Fe], abundances ratios whichtogether span multiple nucleosynthetic channels. In a high quality sample of182,538 giant stars, we detect twenty-one candidate clusters with more thanfifteen members. Our candidate clusters are more chemically homogeneous than apopulation of non-member stars with similar [Mg/Fe] and [Fe/H], even inabundances not used for tagging. Group members are consistent with having thesame age and fall along a single stellar-population track in logg vs. Teffspace. Each group's members are distributed over multiple kpc, and the spreadin their radial and azimuthal actions increases with age. We qualitativelyreproduce this increase using N-body simulations of cluster dissolution inGalactic potentials that include transient winding spiral arms. Observing ourcandidate birth clusters with high-resolution spectroscopy in other wavebandsto investigate their chemical homogeneity in other nucleosynthetic groups willbe essential to confirming the efficacy of strong chemical tagging. Ourinitially spatially-compact but now widely dispersed candidate clusters willprovide novel limits on chemical evolution and orbital diffusion in theGalactic disc, and constraints on star formation in loosely-bound groups.

Strong chemical tagging with APOGEE: 21 candidate star clusters that have dissolved across the Milky Way disc