Our current knowledge of the baryon-baryon interaction suggests that the dineutron (n, n) and its strange analogue (n, Λ) are unstable. In contrast, the situation is more favorable for the strange three-body system (n, n, Λ), and even better for the four-body system T ≡ (n, n, Λ, Λ) with strangeness −2, which is likely to be stable under spontaneous dissociation. The recent models of the hyperon-nucleon and hyperon-hyperon interactions suggest that the stability of the (n, n, Λ) and T is possible within the uncertainties of our knowledge of the baryon-baryon interactions. This new nucleus T could be produced and identified in central deuteron-deuteron collisions via reaction d + d → T + K + + K + , and the tetrabaryon T could play an important role in catalyzing the formation of a strange core in neutron stars.