Only their hosts at a rain soaked Parc des Sports Aguilera, Biarritz, have ever topped 28 points before, when they won all six Pool matches in 2006/07 and picked up four bonus points to end up as top seeds with 29 points.
Chris Robshaw's side will still have to wait and see if either Toulon or ASM Clermont Auvergne can pile on the tries in their final games in Round 6 to overtake them at the top. Both French sides are unbeaten and will go into their last outings - Toulon in Montpellier and Clermont in Llanelli - with 23 points.
To take the No1 seeding from the mighty Quins for the quarter-finals Toulon will need to beat Montpellier and score six tries. The task is an even bigger one for Aurelien Rougerie's Clermont side, who will need 10 tries against the Scarlets to surpass the Quins' try tally.
But while it is a huge achievement to end the Pool stages as the No 1 seeds for the quarter-finals, it is also a double edged sword. No team that has won all six Pool matches has managed to go on to win the Heineken Cup
The list of unbeaten Pool winners, since home and away matches were brought into play in the 1997/98 season, who failed to get their hands of the biggest and most coveted piece of silverware in world club rugby is:
1997/98 London Wasps - lost in quarter-final
2001/02 Bath - lost in quarter-final
2002/03 Leinster - lost in semi-final
2004/05 Leinster - lost in quarter-final
2006/07 Scarlets - lost in semi-final
2006/07 Biarritz Olympique - lost in quarter-final
2008/09 Cardiff Blues - lost in semi-final
2010/11 Northampton Saints - lost in final
2011/12 Munster - lost in quarter-final