This is going to be a tough one, we have to clean your glassware, but because its meant to be a precision instrument, we can't be as vigorous as we need to be.
Some thoughts:
Try washing as thoroughly as possible with lab soap and water. You probably have, but try again. See if you can gradually get the charred material out. Its worth a try.
Try a sonicator with soap and water, maybe a solvent to reduce surface tension. See if something comes out. If so, then just keep doing that until its clear enough.
Maybe concentrated sulfuric acid will attack enough of the organic component of the soot and get most of the char out. It's unlikely the soot is pure carbon.
If this weren't a precision instrument, I'd suggest scouring powder. Maybe concentrated base will attack the glass enough to let everything was free. However, these options will likely attack the bore, and alter calibration. So you'd have to re-calibrate. Perhaps you have to do that often, or even after the gentler methods above to be sure, so it may be something you try anyway.