It may be an issue of terminology, but "thin" negs are usually due to inadequate exposure. Increased development affects the highlights mostly. Overall density and shadow density especially, derives from exposure.
More development will increase your highlight density, and result in increased contrast, but it won't make your thin negs thick, at least in the ways most of us define "thick" and "thin" for negs
Your eyes and the film are able to record more information at either end of the scale than paper can. You may well be able to see detail in shadow areas of your negatives that will disappear into blackness when you make a properly exposed print.
With the exposure you've used that makes the sprockets just barely dissapear, what does the rest of the image look like? If it's too dark you are under exposed, too light means you are over exposed. No detail in highlights means your development may be too long, if the highlights are too dark the processing might be too short.
OTH, there is nothing wrong with using grade 3 to get a good print.