mpi: Add basic2 mode #7221

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	53m 39s
pytest-ubuntu-py311-gcc11-noomp-adjoint	41m 15s
pytest-ubuntu-py312-gcc12-omp-base	1h 10m 19s
pytest-ubuntu-py312-gcc12-omp-adjoint	51m 42s
pytest-ubuntu-py39-gcc7-omp-base	55m 13s
pytest-ubuntu-py39-gcc7-omp-adjoint	40m 39s
pytest-ubuntu-py310-gcc10-noomp-base	53m 59s
pytest-ubuntu-py310-gcc10-noomp-adjoint	40m 29s
pytest-ubuntu-py312-gcc13-omp-base	1h 10m 5s
pytest-ubuntu-py312-gcc13-omp-adjoint	51m 36s
pytest-ubuntu-py39-gcc9-omp-base	55m 51s
pytest-ubuntu-py39-gcc9-omp-adjoint	41m 30s
pytest-osx-py312-clang-omp-base	49m 7s
pytest-docker-py39-gcc-omp-base	48m 34s
pytest-docker-py39-gcc-omp-adjoint	35m 58s
pytest-docker-py39-icx-omp-base	48m 0s
pytest-docker-py39-icx-omp-adjoint	43m 10s
	14h 11m 6s

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