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Dear All,
My fault. Changing the PETSc preconditioning DOES SOLVE the issue. For me, setting the options in the [Executioner] block:

[Executioner]
  ...
  petsc_options_iname = '-pc_type -pc_factor_mat_solver'
  petsc_options_value = 'lu mumps'
  ...
[]

makes step7d problem in the tutorial converge nicely, and further running it with 4 threads make it run impressively fast in my iMAC.
Best wishes,
Javier

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@aeslaughter
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Answer selected by garciapintado
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