Blackheath rugby club are on course to meet their aim of a top four finish in National League One.
Four consecutive wins in a row have seen the Kent club move up to sixth in the division.
Blackheath inside centre Sam Windsor [pictured] told BBC Radio Kent: "We've got to play all the teams above us and they've got to play each other.
"The top four is a goal and if we get that we can say it has been been a successful season."
Westcombe Park are still bottom of National League Two after losing 34-23 to relegation rivals Barnes.
Canterbury made it 21 straight league wins in National League Three South East, beating Havant 90-15.
Tonbridge Juddians and Gravesend also won to make it three wins out of three for Kent clubs in the division.
Kent's under-20 side are just two games from Twickenham. They play Hertfordshire this weekend for a place in the semi-final of the national championship.