We define and study the properties of squeezed quantum multiplets, which are sets of $D$-orthonormal quantum states formed by superpositions of states squeezed along $D$ equally spaced directions in quadrature space. We present analytical expressions for phase-space distributions (Wigner and characteristic functions) representing squeezed multiplets. We use these expressions to show that some squeezed multiplets are highly sensitive to perturbations in all phase-space directions, suggesting potential applications in metrology. We also compare ordinary squeezed multiplets with superpositions of higher-order squeezed states, including trisqueezed and quadsqueezed states, highlighting both similarities and important differences between these families of states.

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