  We propose a new type of supersymmetric Twin Higgs model where the SU(4)
invariant quartic term is provided by a D-term potential of a new U(1) gauge
symmetry. In the model the 125 GeV Higgs mass can be obtained for stop masses
below 1 TeV, and a tuning required to obtain the correct electroweak scale can
be as low as 20 %. A stop mass of about 2 TeV is also possible with tuning of
order O(10) %.
