  We calculate masses of the technipions in the walking technicolor model with
the anomalous dimension gamma_m =1, based on a holographic model which has a
naturally light technidilaton phi as a composite Higgs with mass m_phi simeq
125 GeV. The one-family model (with 4 weak-doublets) is taken as a concrete
example in such a framework, with the inputs being F_pi=v/2 simeq 123 GeV and
m_phi simeq 125 GeV as well as gamma_m=1. It is shown that technipion masses
are enhanced by the large anomalous dimension to typically O(1) TeV. We find a
correlation between the technipion masses and S^{(TC)}, the S parameter arising
only from the technicolor sector. The current LHC data on the technipion mass
limit thus constrains S^{(TC)} to be not as large as O(1), giving a direct
constraint on the technicolor model building. This is a new constraint on the
technicolor sector alone quite independent of other sector connected by the
extended-technicolor-type interactions, in sharp contrast to the conventional S
parameter constraint from the precision electroweak measurements.
