Many brass instrument players pay attention in terms of design and specification of mouthpiece, such as inner diameter and throat size. How about weight? I know there are mouthpieces featuring "Light Weight" and "Heavy Weight"; however, I have rarely seen weights in digital figures. I have to admit weight variance or tolerance through production.
I found an analogue scale at my place and measured my tuba mouthpieces. Please take a look the following table. (The analogue scale is not as accurate as digital scale.)
Schilke 62 is a relatively small mouthpiece but not lightest. JK5E is smaller than 4D but not lighter. Alloy, plating (silver or gold), routing and other factor could influence weight. (Hey, titanium is the way beyond light.)
I had what's called heavy weight mouthpiece (Parke Ofenloch). It should weight more.
I hope this article is helpful for your mouthpiece quest.