We show that spinning on a symmetric layer of microspheres onto a slab produces a line of bound states in the continuum (BICs) that are symmetry-protected. The states that live in the slab have odd modal profile while the environment only supports even modes. Additionally, as you change the angle of incidence, the frequency of this resonance shifts, making it an interesting candidate for high-fidelity filters or embedded sources. All of the simulations were performed with realistic materials to ensure that such a device could actually be fabricated.