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They then took the lead through Dan Bowden's try, with Flood converting.
Gloucester retook the lead going into half time, thanks to a try from Jonny May to make the score 14-13.
Rob Cook's penalty further extended the home side's lead 12 minutes after the break.
In the final quarter-of-an-hour, Flood kicked three penalties for Leicester to turn the game around and ensure that it would be a fifth successive Premiership defeat for Gloucester.