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UPDATE 7-Bullish oil streak means strongest 3rd qtr Brent price gain in 13 years

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* Brent up around 20 percent in third quarter

* Iran bans oil products transport to and from Iraqi Kurdistan

* Activity spikes in options market for $100 oil bets

* Middle East producers worry high price will boost U.S. shale

* U.S. adds rigs for first week in seven- Baker Hughes

(Updates closing prices; adds quotes, Baker Hughes data) NEW YORK, Sept 29 (Reuters) - Oil prices closed up on Friday after a rally in prices around geopolitical instability in Iraqi Kurdistan helped Brent make its strongest third-quarter price performance since 2004.

Global benchmark Brent crude closed up 13 cents or

0.2 percent to $57.54 a barrel, notching up a third-quarter gain of around 20 percent. On the week, Brent was up 1.2 percent. The contract had reached its highest in more than two years earlier in the week, resulting in a fifth consecutive weekly gain. This performance is Brent's longest weekly bull run since June 2016.

U.S. crude closed up 11 cents to settle at $51.67 a

barrel, its strongest third quarter in 10 years and its longest streak of weekly gains since January. U.S. crude was up around 2 percent on the week. "The bigger concern for oil is the Kurdish region," said Matt Smith, director of Commodity Research at ClipperData. "Today we're seeing international flights banned, the trucking of fuels being banned from Iran." Iraq's Kurds endorsed secession by nine to one in a referendum on Monday that has angered Turkey, the central government in Baghdad and other powers, which fear the vote could lead to renewed conflict in the oil-rich region. Turkish President Tayyip Erdogan called the vote illegitimate and has threatened to break with past practice and deal only with the Baghdad government over oil exports from Iraq. Oil price gains have also been supported this month by anticipated renewed demand from U.S. refiners that were resuming operations after shutdowns due to Hurricane Harvey. But oil output from the Organization of Petroleum Exporting Countries has risen this month by 50,000 barrels per day (bpd), a Reuters survey found, as Iraqi exports increased and production edged higher in Libya, one of the producers exempt from a supply-cutting deal. Middle Eastern oil producers are also concerned the recent price rise will incentivize more U.S. shale production and push prices lower again. U.S. energy companies added oil rigs for the first week in seven after a 14-month drilling recovery stalled in August, energy services firm Baker Hughes said on Friday. Drillers added six oil rigs in the week to Sept. 29, bringing the total count up to 750. The U.S. oil rig count, however, is down for the second month in a row and posted its biggest monthly and quarterly declines since the second quarter of 2016.

(Additional reporting by Aaron Sheldrick in Tokyo and Karolin Schaps in London; editing by Adrian Croft and Cynthia Osterman)