  We study phase diagram of the dense holographic gauge matter in the
Sakai-Sugimoto model in the presence of the magnetic field above the
deconfinement temperature. Even above the deconfinement, quarks could form
colour bound states through the remaining strong interaction if the density is
large. We demonstrate that in the presence of the magnetic field for a
sufficiently large baryon density, the multiquark-pion gradient
(MQ-$\mathcal{5}\phi$) phase is more thermodynamically preferred than the
chiral-symmetric quark-gluon plasma. The phase diagrams between the holographic
multiquark and the chiral-symmetric quark-gluon plasma phase are obtained at
finite temperature and magnetic field. In the mixed MQ-$\mathcal{5}\phi$ phase,
the pion gradient induced by the external magnetic field is found to be a
linear response for small and moderate field strengths. Its population ratio
decreases as the density is raised and thus the multiquarks dominate the phase.
Temperature dependence of the baryon chemical potential, the free energy and
the linear pion gradient response of the multiquark phase are well approximated
by a simple analytic function $\sqrt{1-\frac{T^{6}}{T^{6}_{0}}}$ inherited from
the metric of the holographic background.
