By David Gaffen New York (Reuters) – Oil prices rose on Wednesday, buoyed by tight supplies and as U.S. refiners drove processing activity to their highest level since before the coronavirus pandemic started. Brent crude futures for July settled up 47 cents to $114.03 a barrel, while U.S. West Texas Intermediate (WTI) crude for July delivery ended up 56 cents to $110.33 a barrel. U.S. crude stockpiles fell 1 million barrels last week, the government said, with gasoline inventories also sliding modestly. Distillate stocks rose by 1.7 million barrels. Refiners picked up the pace of processing, b…