The Ruddlesden–Popper (R–P) bilayer nickelate, La₃Ni₂O₇, was recently found to show signatures of high-temperature superconductivity (HTSC) at pressures above 14 GPa (ref. ¹). Subsequent investigations achieved zero resistance in single-crystalline and polycrystalline samples under hydrostatic pressure conditions^2,3,4. Yet, obvious diamagnetic signals, the other hallmark of superconductors, are still lacking owing to the filamentary nature with low superconducting volume fraction^2,4,5. The presence of a new 1313 polymorph and competing R–P phases obscured proper identification of the phase for HTSC^6,7,8,9. Thus, achieving bulk HTSC and identifying the phase at play are the most prominent tasks. Here we address these issues in the praseodymium (Pr)-doped La₂PrNi₂O₇ polycrystalline samples. We find that substitutions of Pr for La effectively inhibit the intergrowth of different R–P phases, resulting in a nearly pure bilayer structure. For La₂PrNi₂O₇, pressure-induced orthorhombic to tetragonal structural transition takes place at P_c ≈ 11 GPa, above which HTSC emerges gradually on further compression. The superconducting transition temperatures at 18–20 GPa reach \({T}_{{\rm{c}}}^{{\rm{onset}}}=82.5\,{\rm{K}}\) and \({T}_{{\rm{c}}}^{{\rm{zero}}}=60\,{\rm{K}}\), which are the highest values, to our knowledge, among known nickelate superconductors. Importantly, bulk HTSC was testified by detecting clear diamagnetic signals below about 75 K with appreciable superconducting shielding volume fractions at a pressure of above 15 GPa. Our results not only resolve the existing controversies but also provide directions for exploring bulk HTSC in the bilayer nickelates.