Answer:
The conductance of the solution of a strong electrolyte increases with the concentration because the number of ions, formed by the dissociation of the electrolyte, increases. This is the reason why 0.1M HCl is a worse conductor of electricity than 6.0 M HCl. However, this effect doesn't extend to infinity: when there are too many ions in the solution, they start to feel friction with another ions, which decreases their mobility.
As you can see in the article[1], the maximum conductivity of HCl water solution is at around 5 M of HCl.
[1] : Artemov, Vasily & Volkov, A. & Sysoev, N.. (2015). Conductivity of aqueous HCl, NaOH and NaCl solutions: Is water just a substrate?. EPL (Europhysics Letters). 109. 10.1209/0295-5075/109/26002.
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