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@Ndeipi
@PhilDAS
It's perhaps easiest to compare with an aluminum rack. Alu has a similar tensile strength to carbon when dimensions are the same (but the alu will be heavier).
So imagine the thinnest struts on an aluminum rack that you could use for lightweight touring. Roughly 7mm OD with 1mm wall thickness? That's likely also as thin as you can go with carbon. Well you know... +/- 20% because of grade/imperfections/tolerances.
2mm carbon tube (0.5mm wall thickness) weighs 3.6g/m. Three grams per metre. It's gonna snap.
7mm carbon tube (1mm wall thickness) weighs 30g/m. You'll need something like 3 metres of tube, so 90g of carbon. Other hardware/fittings/glue will add maybe 100g? A 200g rack is a hell of an achievement.