From what I've seen on ATT U-verse, all NBA games are blacked out when shown on one of the FSN stations (other than local of course). I have no reason to believe the Spurs are different in that regard.
The NBA has their League Pass package, and without purchasing it I don't believe there is any way to watch non-local market games. ATT does not currently offer League pass, unless things have changed since I've last looked.

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