A note on the Polignac numbers

Suppose that $k\ge 3.5\times {10}^6$ and $\text{hH}=\{h_1,\dots ,h_{k_0}\}$ is admissible. Then for any $m\ge 1$, the set $$\{m(h_j-h_i):h_i<h_j\}$$ contains at least one Polignac number.