Ally Vanner won plenty of clean line-out ball for Blackheath
Blackheath are up to sixth place in National League One after a 25-9 win over Sedgley Park.
Tyson Lewis scored two tries while Dave Allen and James Cleverly went over once each to claim Blackheath's third win in four games.
Westcombe Park and Canterbury both lost in National League Two south while Gravesend beat Diss in national league three south.
Tonbridge Juddians beat Portsmouth to stay top of London League One South.
Tunbridge Wells remain bottom. They were beaten 41-15 by Thanet Wanderers, who are eleventh.
Old Elthamians are still top of London League Two South East after a comfortable 40-10 win at Warlingham. Their lead is increased thanks to Lewes being beaten at East Grinstead, their fifth defeat all season.
Just a point separates the top three in London League Three South East, following wins for Crowborough, Charlton Park and Heathfield.
Ashford are still the side to catch at the top of Shepherd Neame Kent League One. They won 35-13 away to Gillingham Anchorians.
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