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Ford has a TSB that deals with this issue and it calls for reprogramming the PCM. I am enclosing it for you review.
This article supersedes TSB 07-5-4 to update the calibration level.
Some 2003-2007 F-Super Duty vehicles, 2003-2005 Excursions and 2004-2008 E-Series vehicles, equipped with a 6.0L diesel engine may exhibit hard start, no start, white smoke, lack of power, running rough condition after cold engine start up, or diagnostic trouble codes (DTCs) P0404, P0470, P0611, P1260 and/or P1378 issues. Refer to the Calibration Content for information detailing specific vehicle content by vehicle application and model year that is being addressed by this calibration update. This article includes previously released calibration content that improves injector performance in cold engine operation and additional calibration content improvements for specific vehicle applications.
Reprogram the fuel injector control module (FICM), to the latest calibration using IDS release 60.05 and higher. The powertrain control module (PCM) and transmission control module (TCM) will automatically update after FICM reprogramming if they are not at the latest calibration level. This new calibration is not included in the VCM 2009.3 DVD. Calibration files may also be obtained at www.motorcraft.com.
The PCM and FICM calibration update contains improvement actions to address the following symptoms:
Previous released calibration content included: 2003-2007 F-Super Duty, 2003-2005 Excursion and 2004-2008 E-Series 6.0L diesel equipped vehicles:
Eligible Under Provisions Of New Vehicle Limited Warranty Coverage And Emissions Warranty CoverageIMPORTANT: Warranty coverage limits/policies are not altered by a TSB. Warranty coverage limits are determined by the identified causal part.
Here is the lastest TSB.