That 14 french catheter, or "spaghetti" suction catheter is long. Longer than the endotracheal tube.
If you can place that catheter as deep as your tube, and you only feel resistance on deep insertion, then the endotracheal tube is not obstructed completely.
I would invest in an ambuscope or a glidescope disposable scope.
But a poor man's endoscope can reassure you that your tube is not obstructed at least for now.