  We investigate the potential of the Large Hadron Collider (LHC) to probe one
of the most compelling Beyond the Standard Model (BSM) frameworks --- Walking
Technicolor (WTC), involving strong dynamics and having a slowly running
(walking) new strong coupling. For this purpose we use recent LHC Run2 data to
explore the full parameter space of the minimal WTC model using dilepton
signatures from heavy neutral $Z^{\prime}$ and $Z^{\prime\prime}$ resonances
predicted by the model. This signature is the most promising one for discovery
of WTC at the LHC for the low-intermediate values of the $\tilde g$ coupling --
one of the principle parameters of WTC. We have demonstrated complementarity of
the dilepton signals from both resonances, have established the most up-to-date
limit on the WTC parameter space, and provided projections for the the LHC
potential to probe the WTC parameter space at higher future luminosities and
upgraded energy. We have explored the whole four-dimensional parameter space of
the model and have found the most conservative limit on the WTC scale $M_A$
above 3 TeV for the low values of $\tilde g$ which is significantly higher than
previous limits established by the LHC collaborations.
