The nonlinear simulation of resistive ballooning turbulence is performed in tokamak edge geometry. The spatiotemporal autocorrelation is calculated for the gradient of turbulent heat flux. The typical ballistic nature in the correlation plot is introduced by the "Lagrangian correlation," which has spatial and temporal dependence. Propagation distances of the ballistic pulses of the gradient of turbulent heat flux are quantified and are about four times the characteristic size of the front.