How to implement discrete transfer function from System Identification Toolbox in Simulink ?

I have used the System Identification Toolbox to find a discrete transfer function with a 60seconds sample time and I got these good results :

however when I implement the corresponding transfer function in simulink, transfer function output (legend : tf) is very far from working data (legend : sim).

My sample time is 60s in simulink, I'm using discrete solver ode3. I've tried to change also the initial condition of transfer function but it has not worked.