Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of Atlas America Public #14-2004 L.P. (the “Partnership”) on Form 10-K/A for the year ended December 31, 2014 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Freddie M. Kotek, Chairman of the Board of Directors and Chief Executive Officer of the General Partner, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1)

The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934, and

(2)

The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Partnership.

/s/ FREDDIE M. KOTEK

Freddie M. Kotek

Chairman of the Board of Directors and Chief Executive Officer of the General Partner

September 11, 2015

Atlas America Public #14-2004 L.P. 10-K/A