  We propose a minimal supersymmetric Twin Higgs model that can accommodate
tuning of the electroweak scale for heavy stops better than 10% with high
mediation scales of supersymmetry breaking. A crucial ingredient of this model
is a new SU(2)_X gauge symmetry which provides a D-term potential that
generates a large SU(4) invariant coupling for the Higgs sector and only small
set of particles charged under SU(2)_X, which allows the model to be
perturbative around the Planck scale. The new gauge interaction drives the top
yukawa coupling small at higher energy scales, which also reduces the tuning.
