Barry Bonds has the highest batting average with >4 home runs in a week, with an average of .733 the week of April 12, 2004.

Interpreted as:

most ba by a player in one week, all-time, > 4 hr

	NAME	AVG	HR	WEEK	G	AB	R	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	OBP	SLG	OPS
1	Barry Bonds B. Bonds	.733	6	4/12/2004 - 4/18/2004	6	15	7	11	2	0	13	6	0	1	0	0	21	31	8	0	0	2	0	.810	2.067	2.876
2	Brian Giles B. Giles	.652	5	5/20/2002 - 5/26/2002	7	23	11	15	3	1	12	5	1	1	1	0	29	35	9	0	0	1	0	.724	1.522	2.246
3	Jimmy Wynn J. Wynn	.652	5	5/6/1974 - 5/12/1974	5	23	10	15	1	1	10	3	0	3	1	0	26	33	7	0	0	1	0	.692	1.435	2.127
4	Willie Mays W. Mays	.652	5	5/24/1954 - 5/30/1954	6	23	13	15	2	1	11	3	0	2	0	0	26	34	8	0	0		0	.692	1.478	2.171
5	Ed Lennox E. Lennox	.652	5	5/4/1914 - 5/10/1914	6	23	11	15	2	2	14	2	0	1	0		26	36	9	1				.680	1.565	2.245
6	Ted Williams T. Williams	.643	5	7/8/1957 - 7/14/1957	5	14	7	9	2	0	7	5	0	2	0	0	19	26	7	0	0	2	0	.737	1.857	2.594
7	Rogers Hornsby R. Hornsby	.630	5	9/2/1929 - 9/8/1929	7	27	12	17	4	0	17	3	0	3	0		32	36	9	2				.667	1.333	2.000
8	Geoff Jenkins G. Jenkins	.625	5	4/23/2001 - 4/29/2001	6	24	10	15	2	0	14	3	0	4	0	1	27	32	7	0	0	1	1	.667	1.333	2.000
9	Lou Gehrig L. Gehrig	.615	6	7/30/1934 - 8/5/1934	7	26	8	16	2	0	13	3	1	1	1		30	36	8	0				.667	1.385	2.051
10	Joe Crede J. Crede	.611	5	6/2/2008 - 6/8/2008	5	18	9	11	2	0	12	3	0	1	0	0	21	28	7	0	0	0	0	.667	1.556	2.222
11	Matt Stairs M. Stairs	.611	5	7/14/1997 - 7/20/1997	6	18	10	11	0	0	11	7	0	2	0	0	26	26	5	0	1	0	0	.692	1.444	2.137
12	Adrian Gonzalez A. Gonzalez	.609	5	4/6/2015 - 4/12/2015	6	23	8	14	3	0	7	4	0	3	0	0	27	32	8	0	0	1	1	.667	1.391	2.058
13	Nick Kurtz N. Kurtz	.600	5	7/21/2025 - 7/27/2025	6	25	9	15	5	0	11	3	0	5	1	0	28	35	10	0	0	0	0	.643	1.400	2.043
14	J.J. Hardy	.600	6	6/30/2008 - 7/6/2008	7	30	8	18	5	0	12	2	0	3	1	1	33	41	11	1	0	0	0	.625	1.367	1.992
15	Brian Jordan B. Jordan	.600	5	5/15/2000 - 5/21/2000	6	25	7	15	0	0	12	1	0	0	0	0	27	30	5	0	1	0	0	.593	1.200	1.793
16	Orlando Cepeda O. Cepeda	.600	5	9/18/1961 - 9/24/1961	6	20	11	12	1	1	9	7	0	4	0	0	27	30	7	0	0	2	0	.704	1.500	2.204
17	Shawn Green S. Green	.593	9	5/20/2002 - 5/26/2002	6	27	14	16	2	1	17	2	0	5	0	0	30	47	12	0	1	0	0	.600	1.741	2.341
18	Tim Salmon T. Salmon	.593	5	5/9/1994 - 5/15/1994	6	27	12	16	2	1	13	3	1	4	0	0	31	35	8	0	0	1	0	.645	1.296	1.941
19	Jarrett Parker J. Parker	.583	5	9/21/2015 - 9/27/2015	5	12	7	7	0	0	9	3	0	4	1	0	15	22	5	0	0	0	0	.667	1.833	2.500
20	Chris Shelton C. Shelton	.583	5	4/3/2006 - 4/9/2006	6	24	7	14	2	2	9	1	1	5	0	0	26	35	9	0	0	0	1	.615	1.458	2.074
21	Bobby Abreu B. Abreu	.583	6	5/9/2005 - 5/15/2005	7	24	8	14	3	0	12	7	0	3	1	0	31	35	9	0	0	1	0	.677	1.458	2.136
22	Kevin Millar K. Millar	.583	6	7/19/2004 - 7/25/2004	6	24	9	14	0	0	11	1	1	2	0	0	26	32	6	0	0	0	1	.615	1.333	1.949
23	Isaac Paredes I. Paredes	.579	5	6/20/2022 - 6/26/2022	5	19	6	11	2	0	9	1	1	2	0	0	21	28	7	0	0	0	1	.619	1.474	2.093
24	Aaron Judge A. Judge	.571	5	5/10/2021 - 5/16/2021	6	21	8	12	1	0	6	3	1	1	0	0	25	28	6	0	0	0	0	.640	1.333	1.973
25	Ryan Howard R. Howard	.571	6	8/28/2006 - 9/3/2006	8	28	11	16	2	0	12	9	1	6	0	0	38	36	8	0	0	3	0	.684	1.286	1.970