You likely are referring to an early test which later was shown to lack proper controls. A later, far more detained set of tests verified that the shroud dates back to the time of Christ.
Correction: I thought flawed carbon dating determined the oldest it could be was 300 years after Christ died?
In the CBS piece it was claimed, without any dissenting opinion, that carbon dating places it from the middle ages. From my reading I have found various scientists have been critical of that dating on technical grounds.
I haven’t read that 300 AD date before.
What people forget is that their C14 results were skewed by samples that were taken from expertly repaired sections of the Shroud (not to be confused with the huge triangular repair patches from 1532). The repairs were made (it is believed) in the 16th Century.
More details are available from http://www.shroud.com/pdfs/marben.pdf