The gain of 1.6% to 812 points on Thursday, up from 799 the day before, saw it top 800 for the first time since December 2011.
Earnings for tankers heading from Rotterdam to New York jumped 9.7% to $36,105 per day.
And increasing cargoes have been outstripping available vessels between Singapore and Japan, brokers said.
The latest tanker fixtures show one vessel fixing for a lump sum of $2.875m
