Neil Piggott claimed a hat-trick of tries as Richmond moved to within touching distance of a return to the national leagues on Saturday.
A 62-18 win over Sutton & Epsom means just one more victory from their last three games will ensure the London League title.
Alex Maclennan, Tom Saunders, Tom George, Tim Cook, Martin Bolton and Tom Drewe also bagged try each, while Matt Hart converted seven of their efforts. But a surprise omission from the scoresheet was 18-try top scorer Francois van Schalkwyk, who failed to mark his return from injury with a score.
Richmond will have to wait a fortnight to try and clinch promotion, however, when they make the short-distance to Chiswick-based Civil Service.