Victories for Jim Anderson and the women's relay team helped Britain's swimmers overtake the 15-gold medal haul from Sydney.
Anderson won his fourth gold in Athens with victory in the S2 50m backstroke.
Nyree Lewis, Maggie McEleny, Natalie Jones and Jane Sidever then won the 20pts 4x50m medley for Britain's 16th gold medal of the Games.
There were also silver medals for Fran Williamson, while Danielle Watts and Anthony Stephens won bronze.
Anderson followed up his wins in the S2 50m, 100m and 200m freestyle earlier in the week with a storming display in 50m backstroke.
The 41-year-old clocked one minute 9.51 seconds to finish 3.91secs ahead of Poland's Miroslaw Piesak, with Greek Georgios Kapellakis third.
Lewis, McEleny, Jones and Sidever were also on form as they claimed the relay title in a time of 3:16.34, finishing a monumental 15.13 seconds ahead of Spain, while Japan took bronze.
Williamson claimed silver behind American Annke Conradi in the women's S3 50m backstroke final.
Stephens took bronze in the S5 50m freestyle behind Spain's Sebastien Rodriguez, who also broke the world record, and Ukrainian Dmytro Kryzhanovskyy.
And Watts finished third in the women's S2 50m backstroke as Spaniard Sara Carracelas took gold and Greece's Maria Kalpakidou silver.
Natalie Jones, Mhairi Love, Jeanette Chippington, Jane Stidever and Rhiannon Henry missed out in their finals.