Rule 609. Impeachment By Evidence Of Conviction Of Crime — General Rule

(a) General Rule. For the purpose of attacking the credibility of a witness, evidence that the witness has been convicted of a crime shall be admitted if elicited from the witness or established by public record but only if the crime was a felony or involved moral turpitude, regardless of punishment, and the court determines that the probative value of admitting this evidence outweighs its prejudicial effect to a party.
(b) Time Limit. Evidence of a conviction under this rule is not admissible if a period of more than ten years has elapsed since the date of the conviction or of the release of the witness from the confinement imposed for that conviction, whichever is the later date, unless the court determines, in the interests of justice, that the probative value of the conviction supported by specific facts and circumstances substantially outweighs its prejudicial effect.

http://www.courts.state.tx.us/rules/tre/tre-all-010107.htm#RULE609