jonesey,
Seamless tube and pipe rolled by Mannesman(?) machines have a helical or spiral pattern left in the cylinder that could be noticably thinner wall (manufacturing spec limit -12.5%) at the pinch points of the rolls. The helical pitch of spiral might depend on the tube diameter / wall thickness. Is the pitch of the observed spirals more or less than 1 spiral per tube diameter?
The thicker wall area of tubes could run at somewhat hotter temperature than the thinner wall areas of tubes. Try a thickness measurement of different portions of the tubes, and see if the thickness / thinness correlates to spiral patterns. If the thickness measurements confirm the spiral pattern, there could be something connected with fatigue comment from metengr. If the previous pigging operation did not completely clean the inner diameter, but left some residue on the I.D. at helical spiral (groove), then the thinner wall portions could run at hotter temperture from the added fouling heat transfer resistance of residues in the helical spiral internal groove.