Sticking with England latest seven day average by specimen date sits just under 33,000, graph showing how this has grown since start of June.
With a bit of rounding, and again referencing the seven day average, not case totals on individual days, looking at the doubling
June 8th : 5,000
June 23rd : 10,000
July 2nd : 20,000
as at July 14th : 33,000 so not yet at the 40,000 for the next doubling.