Section 22. Whenever an application filed under the provisions of section twenty-one is denied, or is granted with such conditions and requirements as to make the building or operation of such housing uneconomic, the applicant shall have the right to appeal to the housing appeals committee in the department of housing and community development for a review of the same. Such appeal shall be taken within twenty days after the date of the notice of the decision by the board of appeals by filing with said committee a statement of the prior proceedings and the reasons upon which the appeal is based. The committee shall forthwith notify the board of appeals of the filing of such petition for review and the latter shall, within ten days of the receipt of such notice, transmit a copy of its decision and the reasons therefor to the committee. Such appeal shall be heard by the committee within twenty days after receipt of the applicant's statement. A stenographic record of the proceedings shall be kept and the committee shall render a written decision, based upon a majority vote, stating its findings of fact, its conclusions and the reasons therefor within thirty days after the termination of the hearing, unless such time shall have been extended by mutual agreement between the committee and the applicant. Such decision may be reviewed in the superior court in accordance with the provisions of chapter thirty A.