We demonstrate spontaneous generation of spatially-periodic supersolid-like super-lattice and stripe solitons in Rashba spin-orbit (SO) coupled spin-1 spin-2 quasi-two-dimensional nonmagnetic Bose-Einstein condensates (BECs). The a weakly SO-coupled BEC are circularly-symmetric $(-1, 0, +1)$ $(0, +1, +2)$ types have inherent vorticity; the numbers parentheses winding hyper-spin components $+1, ...