mpi: Add basic2 mode #7202

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	50m 49s
pytest-ubuntu-py311-gcc11-noomp-adjoint	38m 30s
pytest-ubuntu-py312-gcc12-omp-base	1h 9m 12s
pytest-ubuntu-py312-gcc12-omp-adjoint	50m 32s
pytest-ubuntu-py39-gcc7-omp-base	54m 0s
pytest-ubuntu-py39-gcc7-omp-adjoint	40m 57s
pytest-ubuntu-py310-gcc10-noomp-base	50m 42s
pytest-ubuntu-py310-gcc10-noomp-adjoint	38m 44s
pytest-ubuntu-py312-gcc13-omp-base	1h 7m 48s
pytest-ubuntu-py312-gcc13-omp-adjoint	51m 4s
pytest-ubuntu-py39-gcc9-omp-base	53m 5s
pytest-ubuntu-py39-gcc9-omp-adjoint	40m 26s
pytest-osx-py312-clang-omp-base	35m 56s
pytest-docker-py39-gcc-omp-base	47m 5s
pytest-docker-py39-gcc-omp-adjoint	35m 38s
pytest-docker-py39-icx-omp-base	38m 6s
pytest-docker-py39-icx-omp-adjoint	35m 38s
	13h 18m 12s

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