  In this study, we use the concept of $l_1$-norm coherence to characterize the
entanglement of a two--qutrit Heisenberg XXZ model for subject to a uniform
magnetic field and z--axis Dzyaloshinskii--Moriya interaction with
Herring-Flicker coupling. We show the temperature, magnetic field, DM
interaction, and distance of Herring-Flicker coupling all can control the
entanglement. However, the state system becomes less entangled at high
temperatures or strong magnetic fields and vice versa. Our findings also
suggest that entanglement rises when the z--axis DM interaction increases.
Moreover, by setting the strengths coupling of the spin, we quickly recover the
isotropic XY and XXX Heisenberg models. Finally, Herring-Flicker coupling
affects the degree of entanglement. In fact, when Herring-Flicker coupling and
temperature are at small values, the degree of entanglement is at its highest.
Still, when Herring-Flicker coupling is at substantial values, the degree of
entanglement tends to stabilize.
