Every claim for a refund shall be made in writing, in a form, and stating information that the tax administrator may require. Within thirty (30) days after disallowing any claim in whole or in part, the tax administrator shall give notice of his or her decision to the claimant. Any person aggrieved by the decision may, within thirty (30) days from the date of the mailing by the tax administrator of notice of the decision, request a hearing and the tax administrator shall, as soon as practicable, set a time and place for the hearing. After the hearing, if the taxpayer is aggrieved by the decision of the tax administrator, the taxpayer may petition the sixth (6th) division of the district court for relief from the decision of the tax administrator. No petition may be made under this section with respect to a re-determination as to which a petition has been made under § 44-19-18. The court shall proceed in the manner provided in § 44-19-18 and § 44-19-19, and may confirm the decision of the tax administrator or order a refund or credit as provided in § 44-19-19. A party aggrieved by a final order of the court may seek review of the order in the supreme court by writ of certiorari in accordance with the procedures contained in § 42-35-16.