(a) The court may, upon conviction of reckless driving or homicide by vehicle under 22.0702 and 22.0706, suspend or revoke a license as follows:

(1) upon first conviction, for a period of 180 days;

(2) upon second and subsequent convictions, for a period of 2 years;

(3) notwithstanding paragraph (2), if the person has 3 convictions of serious traffic offenses within a 10-year period, his license may be revoked permanently.

(b) For conviction of homicide by vehicle, periods of suspension may be double those set out in subsection (a).