what is the best record by the red sox in a month since 2000 but before 2021

Between the 2000 and 2020 seasons, the Boston Red Sox had their best record in a month in October 2009 and in October 2006, with a record of 4-0.

	TEAM	REC	MONTH	W%	G	W	L	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Red Sox	4-0	October 2009	1.000	4	4	0	132	32	42	6	0	9	30	20	2	21	3	2	157	75	15	0	3	1	1	.318	.408	.568	.976
2	Red Sox	1-0	October 2006	1.000	1	1	0	21	9	7	1	0	3	9	5	1	4	0	0	27	17	4	0	0	0	1	.333	.481	.810	1.291
3	Red Sox	20-6	July 2011	.769	26	20	6	945	171	282	61	5	40	162	110	8	189	21	6	1,074	473	106	2	9	9	22	.298	.373	.501	.874
4	Red Sox	19-6	July 2018	.760	25	19	6	864	134	235	57	8	24	131	90	10	195	18	4	972	380	89	2	6	10	23	.272	.345	.440	.785
5	Red Sox	19-6	April 2018	.760	25	19	6	892	151	248	64	3	30	143	83	13	197	16	3	1,000	408	97	1	11	5	17	.278	.344	.457	.802
6	Red Sox	3-1	October 2004	.750	4	3	1	143	24	37	4	1	3	23	17	1	21	2	2	161	52	8	0	0	0	2	.259	.342	.364	.705
7	Red Sox	21-7	August 2004	.750	28	21	7	960	176	289	69	5	36	169	109	12	181	13	6	1,096	476	110	3	12	8	25	.301	.375	.496	.871
8	Red Sox	20-8	May 2007	.714	28	20	8	975	155	282	72	6	29	151	111	9	143	19	3	1,108	453	107	6	7	6	19	.289	.365	.465	.829
9	Red Sox	15-6	April 2004	.714	21	15	6	755	103	196	42	1	25	98	97	10	155	12	5	868	315	68	1	5	7	14	.260	.349	.417	.767
10	Red Sox	20-8	May 2002	.714	28	20	8	990	152	281	64	10	26	141	98	11	157	14	8	1,109	443	100	2	8	8	22	.284	.352	.447	.800
11	Red Sox	5-2	October 2001	.714	7	5	2	255	38	76	11	0	14	38	20	2	52	3	1	278	129	25	0	1	0	9	.298	.353	.506	.858
12	Red Sox	19-8	September 2016	.704	27	19	8	939	150	258	48	2	37	140	100	6	197	11	5	1,057	421	87	2	10	6	22	.275	.345	.448	.793
13	Red Sox	16-7	April 2002	.696	23	16	7	808	137	240	43	4	31	132	82	6	114	16	5	905	384	78	1	8	8	19	.297	.363	.475	.838
14	Red Sox	18-8	April 2013	.692	26	18	8	881	135	239	58	9	26	133	97	8	232	22	8	994	393	93	2	6	5	15	.271	.347	.446	.793
15	Red Sox	18-8	June 2009	.692	26	18	8	876	138	228	44	7	31	130	113	10	178	24	6	1,011	379	82	3	9	6	20	.260	.348	.433	.781
16	Red Sox	18-8	April 2003	.692	26	18	8	937	155	263	68	4	32	146	101	14	155	17	5	1,069	435	104	6	11	10	29	.281	.356	.464	.820
17	Red Sox	18-9	August 2018	.667	27	18	9	924	166	254	65	6	34	154	103	8	195	19	12	1,045	433	105	2	8	8	24	.275	.350	.469	.819
18	Red Sox	2-1	March 2018	.667	3	2	1	98	8	22	10	0	2	7	10	0	17	1	1	108	38	12	0	0	0	2	.224	.296	.388	.684
19	Red Sox	18-9	August 2017	.667	27	18	9	934	143	243	55	2	37	135	104	14	211	25	6	1,057	413	94	0	5	11	18	.260	.342	.442	.784
20	Red Sox	2-1	October 2010	.667	3	2	1	105	20	30	4	0	4	16	18	2	33	6	0	128	46	8	1	2	1	4	.286	.394	.438	.832
21	Red Sox	18-9	June 2010	.667	27	18	9	946	166	282	77	6	36	158	106	12	194	15	4	1,081	479	119	6	11	8	23	.298	.372	.506	.878
22	Red Sox	18-9	August 2008	.667	27	18	9	970	170	290	68	8	28	164	121	14	192	23	5	1,116	458	104	2	9	13	22	.299	.382	.472	.854
23	Red Sox	16-8	April 2007	.667	24	16	8	799	125	209	40	5	27	116	111	6	142	12	2	928	340	72	4	8	6	23	.262	.353	.426	.778
24	Red Sox	18-9	August 2005	.667	27	18	9	962	190	291	71	1	35	173	108	7	147	10	2	1,093	469	107	4	12	8	26	.302	.373	.488	.860
25	Red Sox	19-10	May 2011	.655	29	19	10	1,030	156	296	61	6	39	148	91	11	190	28	7	1,144	486	106	2	10	7	27	.287	.349	.472	.820