You have wrong info. the body does not produce vit. B. Clots can occur for a number of reasons, including meds, smoking, birth control and more.

A lack or a deficiency of Vit B 6 may be related to seizures, chronic pain, depression, headaches and, Parkinsons’s Disease.
Basically, a deficiency of Vitamin B6, folic acid or, Vitamin B 12 may increase your level of homocysteine, an amino acid normally found in your blood.
An increase in homocysteine is an independent risk factor for heart disease & stroke. High levels may damage coronary ( heart) arteries or make it easier for ** blood clotting cells( platelets) to clump together & form a clot.
Here are two websites that are quite informative:
I hope that this info is helpful.
As far as any specific disorder ( or a disease name) that causes blood clots on the lungs due to a lack of ” vitamin B “, I’m uncertain as to such a known, specific disorder.