Although it's probably the most obvious, I'm not sure that I'd go with a cold injector, unless run time is short and sample injection volume and solvent are likely to provide cooling. I'd alsmost suspect the final oven temperature is too low, but....
My next guess would be for the concentration of nC16 alkane to decrease in the sample solution, possibly due to insolubility in solvent at autosampler temperatures, or absorption onto vial surfaces, or use of an immiscible syringe wash solvent.
We really need much more detail, especially instrument conditions, sample preparation, concentrations and solvents, wash solvents, etc.
This also sounds like a study exercise, as it's very difficult to lose nC16 alkane without proportional losses of nC15 alkane, especially when compared to nC14 alkane, given their similar volatile properties. 
Bruce Hamilton