GRB 161004***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), J. R. Cummings (GSFC/UMBC), N. Gehrels (GSFC), H. A. Krimm (GSFC/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-239 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 161004***A*** (trigger #715246) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 112.156, -39.896 deg which is RA(J2000) = 07h 28m 37.4s Dec(J2000) = -39d 53' 47.3" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 73%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 15.7 +- 0.8 sec (estimated error including systematics). The time-averaged spectrum from T-5.2 to T+27.3 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.21 +- 0.13, and Epeak of 177.0 +- 72.8 keV (chi squared 34.99 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 8.8 +- 0.2 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+0.38 sec in the 15-150 keV band is 10.0 +- 0.3 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.47 +- 0.03 (chi squared 47.61 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/715246/BA/