what is the worst record by the red sox in a month since 1901 with a minimum of 15 games

Since 1901, the Boston Red Sox have their worst record with 15+ games played in a month in June 1927, with a record of 4-24.

	TEAM	REC	G	MONTH	W%	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	4-24	28	June 1927	.143	4	24	948	113	258	47	17	3	108	69	3	74	8		1,062	348	67	42				.272	.324	.367	.691
2	Americans	4-22	26	May 1906	.154	4	22	868	73	196	24	20	4		46	7		12		936	272	48	15				.226	.270	.313	.584
3	Red Sox	4-21	25	May 1932	.160	4	21	829	79	206	29	5	10	71	88	2	74	6		933	275	44	14				.248	.322	.332	.654
4	Red Sox	5-23	28	June 1932	.179	5	23	970	101	262	36	14	10	98	64	3	97	7		1,051	356	60	14				.270	.317	.367	.684
5	Red Sox	4-18	22	September 1926	.182	4	18	738	66	178	28	6	5	62	70	3	61	8		830	233	39	19				.241	.309	.316	.625
6	Red Sox	6-24	30	July 1925	.200	6	24	1,019	120	269	44	7	8	114	102	3	67	8		1,149	351	59	25				.264	.333	.344	.677
7	Red Sox	6-19	25	September 1932	.240	6	19	845	77	186	37	5	9	68	68	2	94	7		924	260	51	9				.220	.280	.308	.587
8	Red Sox	7-22	29	August 1964	.241	7	22	971	83	233	47	3	20	78	75	1	142	2	2	1,052	346	70	1	4	9	24	.240	.294	.356	.650
9	Red Sox	7-22	29	May 1929	.241	7	22	942	94	235	48	9	4	87	85	4	113	8		1,057	313	61	26				.249	.314	.332	.647
10	Americans	6-18	27	September 1907	.250	6	18	921	81	208	25	12	2	66	47	5	113	21		997	263	39	24				.226	.267	.286	.553
11	Red Sox	8-23	31	August 1928	.258	8	23	1,003	99	247	43	7	1	91	89	5	116	19		1,151	307	51	54				.246	.311	.306	.617
12	Red Sox	7-20	27	September 2011	.259	7	20	973	146	272	67	6	33	140	89	6	193	9	10	1,078	450	106	4	6	11	19	.280	.342	.462	.804
13	Red Sox	7-20	27	September 1952	.259	7	20	951	101	233	36	5	19	94	94	2	133	15	7	1,056	336	60	9			21	.245	.314	.353	.668
14	Red Sox	7-20	27	May 1930	.259	7	20	907	95	226	39	14	8	85	63	8	94	4		1,003	317	61	25				.249	.304	.350	.653
15	Red Sox	7-20	27	July 1929	.259	7	20	882	107	244	50	14	3	100	57	8	73	18		987	331	67	40				.277	.326	.375	.702
16	Americans	6-17	23	June 1906	.261	6	17	793	71	194	35	13	0		55	7		16		873	255	48	18				.245	.299	.322	.621
17	Red Sox	4-11	15	April 1933	.267	4	11	507	63	122	22	4	5	60	50	1	62	1		563	167	31	5				.241	.310	.329	.639
18	Red Sox	7-19	26	September 2012	.269	7	19	863	78	189	37	3	16	75	59	3	186	20	8	939	280	56	8	6	2	17	.219	.270	.324	.594
19	Red Sox	7-19	26	April 1996	.269	7	19	911	120	240	46	5	24	113	93	5	156	13	8	1,022	368	75	4	9	3	32	.263	.332	.404	.736
20	Red Sox	7-19	26	May 1926	.269	7	19	889	106	237	51	13	5	99	82	5	74	6		1,004	329	69	28				.267	.332	.370	.702
21	Red Sox	7-19	26	August 1925	.269	7	19	859	88	208	31	12	4	80	87	6	59	10		978	275	47	26				.242	.316	.320	.636
22	Red Sox	8-21	29	August 1985	.276	8	21	1,033	136	280	55	6	28	132	85	4	155	18	1	1,143	431	89	12	9	3	24	.271	.326	.417	.743
23	Red Sox	8-21	29	June 1965	.276	8	21	990	106	246	46	5	30	101	90	4	187	11	6	1,100	392	81	10	6	7	24	.248	.312	.396	.708
24	Red Sox	9-23	32	July 1930	.281	9	23	1,103	143	307	64	14	18	128	69	2	119	9		1,205	453	96	31				.278	.322	.411	.733
25	Red Sox	6-15	21	September 2001	.286	6	15	696	81	168	34	2	19	78	70	10	151	5	7	782	263	55	2	4	4	13	.241	.318	.378	.696