suggestion (not a solution) based on my experience in recipe cost control and analysis (including volume-to-weight analysis of about 3500 ingredients)
you can not have a volume (eg. tablespoon) convert universally to a weight (eg. gm)... it is an impossibility because different foods have different densities.
hint: a tonne of feathers weighs the same as a tonne of lead... but they do not occupy the same space.
the only way to do this is to test foods repeatedly to get an average, and then have different weights by volume for each ingredient.
EDIT:
by the way, an Australian teaspoon is 5ml, and a Australian Tablespoon is 20 ml.
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