Based on the modified Snyder-Mitchell model, the optical fields that are produced by two collinear Laguerre-Gaussian solitons (LGS) in a strongly nonlocal nonlinear medium are studied. Various novel kinds of solitons on the profiles which depend on the model-index and the relative amplitude of LGS are shown. It is the phase vortices of the LGS that lead to the optical singularities. The many-ring soliton is produced first with the collinear component LGS. The optical field may rotate in propagation, and the angular velocity of the spiral soliton is given.