  We use 3+1D quasiparticle anisotropic hydrodynamics (aHydroQP) to make
predictions for kaon Hanbury-Brown-Twiss (HBT) radii in 200 GeV and 5.02 TeV
heavy-ion collisions. Using previously determined aHydroQP parameters, we
compute kaonic HBT radii and their ratios as a function of the mean transverse
momentum of the pair $k_T$. We first consider Au-Au collisions at 200 GeV,
finding good agreement between aHydroQP predictions and experimental data up to
$k_T \sim 0.8$ GeV. We then present predictions for kaonic HBT radii and their
ratios in 5.02 TeV Pb-Pb collisions. Our aHydroQP predictions do not exhibit a
clear $k_T$ scaling of the pion and kaon source radii, however, an approximate
transverse mass $m_T$ scaling is observed, particularly at 200 GeV.
