Abstract: Over the past two decades, the question of resonances in multineutron systems has reemerged as a central issue in nuclear physics. Theoretically, describing systems of four or more neutrons remains challenging. In particular, the existence of a tetraneutron resonance is still under debate. In this work, we revisit the results of a recent experiment conducted at RIKEN (Duer et al., 2022), which reported a signal consistent with a resonance in the four-neutron system. We extend conformal field theory by incorporating a finite source from which the neutrons are emitted. Our analysis demonstrates that such a source can generate a peak in the reaction spectrum at an energy comparable to that observed in the experiment.