As @Jens answered, UTM zone 14 North is the best zone for Tamaulipas.
If I remember correctly, Mexico provided information for the original NAD83 definition, but never officially published/converted to NAD83. INEGI did release a Red Geodesica Nacional 1993 datum (also known in the EPSG Geodetic Parameter Registry as Mexican Datum of 1993). The EPSG ID is 4487. EPSG has a null transformation (parameters are zeroes) only for Mexican Datum of 1993 to WGS84.
NAD83 (CSRS) should not be used because, as Jens pointed out, it's for Canada. NAD83 (CSRS) is a re-adjustment of the original NAD83, but for Canada only. Other re-adjustments include several for the US: NAD83 HARN, NAD83 (NSRS2007), and NAD83 (2011).
Even though the PROJ.4 definitions are the same, as Andre Joost said, an incorrect definition will cause confusion in the future, and make it more difficult to convert data to a different coordinate reference system, if necessary.
Note: I'm on the subcommittee that maintains the EPSG registry.