Lewis & Short

tŏlūtim, adv. [from the root tol, whence tollo, tolero, tŭli; Gr. ΤΛΑΩ; prop. lifting up the feet; hence, pregn.], on a trot, full trot (mostly ante-class.): cedit citu’, celsu’ tolutim, Varr. ap. Non. 4, 20; so of horses, id. ib. 4, 16; Lucil. ib. 4, 11; Plin. 8, 42, 67, § 166: ire tolutim, Nov. ap. Non. 4, 9: ni tolutim badizas, Plaut. As. 3, 3, 116.