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In this work, we develop efficient open-source implementations of spin-restricted CCSDT (RCCSDT), RCCSDT(Q), and RCCSDTQ within the pyscf package and a Message Passing Interface (MPI)-based extension, distributed-cc. The shared-memory implementation combines compact triangular storage of the highest-order amplitude tensors with the multithreaded tensor contraction backend pytblis, enabling efficient use of modern many-core central processing unit (CPU) architectures. This design delivers near-ideal thread scaling up to 90 cores and achieves wall times shorter than or comparable to existing single-node implementations for representative benchmark molecules. We further extend RCCSDT, RCCSDT(Q), and RCCSDTQ to distributed-memory architectures using MPI-based algorithms. By distributing compact high-order amplitudes across MPI ranks and overlapping communication with computation through nonblocking data transfers, the distributed implementation achieves near-ideal strong scaling on up to 32 nodes, corresponding to \u223c3000 CPU cores. These developments substantially extend the practical reach of canonical high-order coupled-cluster theory, enabling CCSDT and CCSDT(Q) calculations on systems with \u223c100 correlated electrons in 450 orbitals and CCSDTQ calculations on systems with \u223c50 correlated electrons in 115 orbitals. Applications to \u03c0-stacked noncovalent dimers, the CO dissociation energy of Cr(CO)6, and the Cope rearrangement of semibullvalene demonstrate that canonical high-order coupled-cluster benchmarks are now feasible for chemically realistic molecular systems.<\/jats:p>","DOI":"10.1063\/5.0351337","type":"journal-article","created":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T10:10:43Z","timestamp":1791799843000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["High-performance parallel implementation of spin-free high-order coupled-cluster theories"],"prefix":"10.1063","volume":"165","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6073-9953","authenticated-orcid":false,"given":"Yu","family":"Jin","sequence":"first","affiliation":[{"name":"Initiative for Computational Catalysis, Flatiron Institute 1 , New York, New York 10010,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-2682-070X","authenticated-orcid":false,"given":"Christopher","family":"Hillenbrand","sequence":"additional","affiliation":[{"name":"Department of Chemistry, Yale University 2 , New Haven, Connecticut 06520,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7445-2136","authenticated-orcid":false,"given":"Timothy C.","family":"Berkelbach","sequence":"additional","affiliation":[{"name":"Initiative for Computational Catalysis, Flatiron Institute 1 , New York, New York 10010,","place":["USA"]},{"name":"Department of Chemistry, Columbia University 3 , New York, New York 10027,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0086-0388","authenticated-orcid":false,"given":"Huanchen","family":"Zhai","sequence":"additional","affiliation":[{"name":"Initiative for Computational Catalysis, Flatiron Institute 1 , New York, New York 10010,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,10,12]]},"reference":[{"key":"2026101206103826300_c1","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1103\/revmodphys.79.291","article-title":"Coupled-cluster theory in quantum chemistry","volume":"79","year":"2007","journal-title":"Rev. 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