most games allowing 16 runs by a team from 1995 to 2014

Between the 1995 and 2014 seasons, the Colorado Rockies had the most games pitched by a team when allowing 16+ runs, with 33 games.

Interpreted as:

most regular-season games allowing 16 or more runs by a team from 1995 to 2014

	TEAM	G	R	W%	W	L	ERA	SO	SHO	SV	IP	H	ER	HR	BB	HBP	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	H/9
1	Rockies	33	583	.030	1	32	16.37	220	0	0	293.0	644	533	100	202	29	15	1,754	26	6.76	6.20	1.09	3.07	12.5	11.5	2.89	.452	17.91	19.78
2	Rangers	27	483	.037	1	26	16.75	173	0	0	231.0	508	430	81	169	14	11	1,385	17	6.74	6.58	1.02	3.16	12.5	12.2	2.93	.450	18.82	19.79
3	White Sox	23	398	.043	1	22	16.45	150	0	0	197.0	441	360	80	121	15	6	1,171	17	6.85	5.53	1.24	3.65	12.8	10.3	2.85	.448	18.18	20.15
4	Blue Jays	21	363	.000	0	21	16.47	131	0	0	182.0	387	333	75	136	20	5	1,074	12	6.48	6.73	0.96	3.71	12.2	12.7	2.87	.438	17.95	19.14
5	Royals	21	365	.000	0	21	17.08	142	0	0	185.0	430	351	48	124	14	3	1,104	21	6.91	6.03	1.15	2.34	12.9	11.2	2.99	.492	17.76	20.92
6	Rays	20	356	.000	0	20	16.56	124	0	0	169.0	391	311	72	124	15	2	1,039	13	6.60	6.60	1.00	3.83	11.9	11.9	3.05	.453	18.96	20.82
7	Tigers	19	345	.000	0	19	16.54	116	0	0	164.1	354	302	65	139	13	15	995	9	6.35	7.61	0.83	3.56	11.7	14.0	3.00	.437	18.89	19.39
8	Yankees	18	314	.000	0	18	17.28	97	0	0	150.0	335	288	48	122	9	4	911	11	5.82	7.32	0.80	2.88	10.6	13.4	3.05	.452	18.84	20.10
9	Twins	17	291	.000	0	17	16.45	86	0	0	145.0	347	265	37	81	7	5	866	20	5.34	5.03	1.06	2.30	9.9	9.4	2.95	.473	18.06	21.54
10	Angels	16	273	.000	0	16	16.93	99	0	0	135.0	297	254	53	117	13	5	835	13	6.60	7.80	0.85	3.53	11.9	14.0	3.07	.441	18.20	19.80
11	Mariners	16	268	.000	0	16	16.30	90	0	0	138.0	290	250	63	95	18	5	815	10	5.87	6.20	0.95	4.11	11.0	11.7	2.79	.413	17.48	18.91
12	Orioles	16	302	.000	0	16	17.87	98	0	0	139.0	325	276	58	110	10	5	859	9	6.35	7.12	0.89	3.76	11.4	12.8	3.13	.458	19.55	21.04
13	Brewers	16	276	.000	0	16	17.47	110	0	0	136.0	293	264	41	108	13	10	815	8	7.28	7.15	1.02	2.71	13.5	13.3	2.95	.464	18.26	19.39
14	Athletics	15	259	.000	0	15	17.10	91	0	0	126.1	290	240	44	104	9	6	774	13	6.48	7.41	0.88	3.13	11.8	13.4	3.12	.468	18.45	20.66
15	Cubs	15	261	.000	0	15	17.03	84	0	0	127.1	277	241	50	109	6	8	774	11	5.94	7.70	0.77	3.53	10.9	14.1	3.03	.432	18.45	19.58
16	Mets	14	235	.000	0	14	17.45	71	0	0	115.0	248	223	47	94	6	8	681	5	5.56	7.36	0.76	3.68	10.4	13.8	2.97	.434	18.39	19.41
17	Cardinals	14	244	.000	0	14	15.69	74	0	0	121.0	266	211	41	74	14	1	717	9	5.50	5.50	1.00	3.05	10.3	10.3	2.81	.438	18.15	19.79
18	Pirates	14	239	.000	0	14	17.00	83	0	0	117.0	270	221	34	83	14	4	720	9	6.38	6.38	1.00	2.62	11.5	11.5	3.02	.466	18.38	20.77
19	Red Sox	14	249	.071	1	13	17.03	83	0	1	121.0	272	229	46	71	9	2	716	13	6.17	5.28	1.17	3.42	11.6	9.9	2.83	.446	18.52	20.23
20	Marlins	13	241	.000	0	13	19.00	95	0	0	108.0	252	228	39	90	5	4	664	5	7.92	7.50	1.06	3.25	14.3	13.6	3.17	.490	20.08	21.00
21	Diamondbacks	12	210	.000	0	12	15.88	78	0	0	102.0	231	180	41	59	11	7	612	9	6.88	5.21	1.32	3.62	12.7	9.6	2.84	.449	18.53	20.38
22	Astros	12	207	.000	0	12	15.29	70	0	0	103.0	223	175	52	66	3	6	607	3	6.12	5.77	1.06	4.54	11.5	10.9	2.81	.411	18.09	19.49
23	Braves	12	212	.000	0	12	17.29	86	0	0	101.0	244	194	31	68	7	9	621	7	7.66	6.06	1.26	2.76	13.8	11.0	3.09	.497	18.89	21.74
24	Nationals	11	189	.000	0	11	16.83	79	0	0	92.0	200	172	29	55	8	3	539	7	7.73	5.38	1.44	2.84	14.7	10.2	2.77	.465	18.49	19.57
25	Giants	11	186	.000	0	11	17.01	49	0	0	91.0	218	172	27	65	7	5	558	5	4.85	6.43	0.75	2.67	8.8	11.6	3.11	.466	18.40	21.56