No, your expectations do not match the design of the VODE integrator package.
Look at the code in example1.f90 and see how it calls the integrator inside a loop. For your desired calculation you would have to set up a loop that is run 12 times, with Tout = 2, 4,…,24.
Note also that the driver program in example1.f90 does not itself call DVINDY. Such calls could be needed if, for example, you wanted to obtain many more values for plotting the solutions (which is sometimes labelled “dense output”).