I have a customer that was having this issue.
I am wondering if its an updated effect that was modified (by mistake perhaps) by a addon package.
However, I see you have snow on the ground on that runway. For a test, can you select Summer, and take off again on the same jet and see if the smoke is still there? I think its snow and it might be a FSX glitch if I am correct.
Bill
EDIT: Hey Mason. I must have been writing when you were, lol...