The inductances of the primary and secondary should be different if the ratio is different: L1=L2*(N1/N2)^2 . For example, let's say you have a 1H secondary inductance and the ratio is 12/220, then the primary would be approximately:
L1 = 1H*(12/220)^2 ~ 3mH
Also, the coupling coefficient can be safely chosen as 0.99, but set it to 1 for a better understanding of a quick simulation. Remember that in real life, you have much more than these, but you will have to calculate them yourself though, based on the requirements, this was just an example; find some good tutorials on the internet about transformer design.
Good luck,
Vlad