Another thought is maybe you do not have enough magnetizing inductance. Unless the core you are using has a very high permeability, two turns on the primary side seems to be too few. Turns ratio allows you to calculate the primary to secondary voltage ratio, but by itself is not sufficient to allow you to design a transformer. For example, in most cases you cannot expect to have a working 120V to 12V, 60Hz transformer properly work with 10 turns on the primary and one turn on the secondary (even though the turns ratio is correct). Most probably you will short out the 120 AC line if you did this.
Bottom line in all this is try to increase the primary turns, and the secondary turns in the same ratio. Not by too much though, or otherwise you will probably have to tune out the resulting larger leakage inductance.