He was on duty in all six of their Pool 6 contests, scoring tries against Cardiff Blues and Sale Sharks, and has been rewarded with a recall to the Scottish squad for the 2013 RBS 6 Nations.
"It's been great fun - I have loved the change of environment, the change of culture and the change in rugby has been great for me," said the 27-year-old, who won his last cap in 2011.
"I'm really glad I made the move and also managed to keep in touch with the national set-up and still be asked back. I haven't played as many games back-to-back for a long, long time - I have played 80 minutes for the past eight or nine games.
"That has really helped just get back into the run of things, continuity in the legs, going through contacts and collisions and building confidence back up. So it has been great in that respect.
"I had stayed at one club for eight years and everyone needs a freshen-up and a change every now and again. So far it's been great, I have picked up a few things and it's great to play with different players and learn from different coaches."
Hines was the last of the 11 Scottish players who have picked up Heineken Cup winners medals to go all the way in Europe's top tournament when he helped Leinster triumph over Northampton Saints in Cardiff in 2011. Brown will be playing knock-out rugby in Europe for the first time in his career after helping Saracens earn a home quarter-final.