most games with 20 runs allowed by a team in a season

The Philadelphia Phillies and the Cincinnati Reds are tied for the most games pitched with 20+ runs allowed in a season, with 3 games.

Interpreted as:

most games with 20 or more runs allowed by a team in a season

	TEAM	G	R	SEASON	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	Phillies	3	69	1929	.000	0	3	0.00	5	0	0	26.0	70	0	5	24	4		177	1	1.73	8.31	0.21	1.73	2.8	13.6	3.62	.468	23.88	24.23
2	Reds	3	71	1901	.000	0	3	0.00	3	0	0	26.0	83	0	4	6	0		51	1	1.04	2.08	0.50	1.38	5.9	11.8	3.42	2.079	24.58	28.73
3	Marlins	2	40	2024	.000	0	2	21.18	9	0	0	17.0	37	40	9	16	5	0	107	2	4.76	8.47	0.56	4.76	8.4	15.0	3.12	.412	21.18	19.59
4	Devil Rays	2	42	2002	.000	0	2	19.59	14	0	0	17.0	38	37	12	14	2	0	106	2	7.41	7.41	1.00	6.35	13.2	13.2	3.06	.406	22.24	20.12
5	Indians	2	44	2002	.000	0	2	21.71	8	0	0	17.0	47	41	6	14	2	2	116	3	4.24	7.41	0.57	3.18	6.9	12.1	3.59	.477	23.29	24.88
6	Rockies	2	44	1999	.000	0	2	19.00	15	0	0	18.0	52	38	11	15	0	1	122	0	7.50	7.50	1.00	5.50	12.3	12.3	3.72	.506	22.00	26.00
7	Marlins	2	42	1996	.000	0	2	20.65	19	0	0	17.0	37	39	8	19	0	2	107	0	10.06	10.06	1.00	4.24	17.8	17.8	3.29	.475	22.24	19.59
8	Tigers	2	44	1996	.000	0	2	20.12	11	0	0	17.0	37	38	7	20	2	1	112	0	5.82	10.59	0.55	3.71	9.8	17.9	3.35	.417	23.29	19.59
9	Cubs	2	45	1957	.000	0	2	20.12	9	0	0	17.0	48	38	9	13	2	2	116	2	4.76	6.88	0.69	4.76	7.8	11.2	3.59	.470	23.82	25.41
10	Athletics	2	43	1950	.000	0	2	18.53	9	0	0	17.0	33	35	3	27	1		113	3	4.76	14.29	0.33	1.59	8.0	23.9	3.53	.411	22.76	17.47
11	Browns	2	49	1950	.000	0	2	25.88	9	0	0	16.0	51	46	12	18	0		116	0	5.06	10.13	0.50	6.75	7.8	15.5	4.31	.506	27.56	28.69
12	Browns	2	41	1949	.000	0	2	18.56	6	0	0	16.0	47	33	3	15	4		115	0	3.38	8.44	0.40	1.69	5.2	13.0	3.88	.506	23.06	26.44
13	Athletics	2	44	1939	.000	0	2	0.00	2	0	0	17.0	50	0	12	11	1		116	0	1.06	5.82	0.18	6.35	1.7	9.5	3.59	.422	23.29	26.47
14	Cardinals	2	42	1936	.000	0	2	0.00	7	0	0	17.0	46	0	0	12	0		113	4	3.71	6.35	0.58	0.00	6.2	10.6	3.41	.489	22.24	24.35
15	Athletics	2	46	1936	.000	0	2	0.00	8	0	0	18.0	39	0	7	27	1		120	5	4.00	13.50	0.30	3.50	6.7	22.5	3.67	.416	23.00	19.50
16	Indians	2	40	1934	.000	0	2	0.00	6	0	0	16.0	39	0	5	8	2		100	0	3.38	4.50	0.75	2.81	6.0	8.0	2.94	.430	22.50	21.94
17	Phillies	2	43	1930	.000	0	2	0.00	6	0	0	16.0	48	0	4	12	0		103	0	3.38	6.75	0.50	2.25	5.8	11.7	3.75	.543	24.19	27.00
18	Athletics	2	45	1930	.000	0	2	0.00	7	0	0	17.0	48	0	5	17	1		116	0	3.71	9.00	0.41	2.65	6.0	14.7	3.82	.500	23.82	25.41
19	Phillies	2	44	1926	.000	0	2	0.00	8	0	0	18.0	43	0	3	14	0		113	1	4.00	7.00	0.57	1.50	7.1	12.4	3.17	.455	22.00	21.50
20	Browns	2	41	1925	.000	0	2	0.00	8	0	0	18.0	38	0	9	13	1		112	1	4.00	6.50	0.62	4.50	7.1	11.6	2.83	.358	20.50	19.00
21	Red Sox	2	51	1923	.000	0	2	0.00	8	0	0	17.0	54	0	2	20	1		123	0	4.24	10.59	0.40	1.06	6.5	16.3	4.35	.565	27.00	28.59
22	Phillies	2	43	1923	.000	0	2	0.00	7	0	0	18.0	45	0	3	13	1		116	2	3.50	6.50	0.54	1.50	6.0	11.2	3.22	.457	21.50	22.50
23	Reds	2	45	1912	.000	0	2	0.00	3	0	0	16.0	48	0	1	13	0		102	0	1.69	7.31	0.23	0.56	2.9	12.7	3.81	.553	25.31	27.00
24	Rustlers	2	46	1911	.000	0	2	10.13	9	0	0	16.0	37		3	20	4		101	1	5.06	11.25	0.45	1.69	8.9	19.8	3.56	.523	25.88	20.81
25	Rockies	1	21	2025	.000	0	1	18.00	4	0	0	9.0	24	18	5	5	0	0	56	1	4.00	5.00	0.80	5.00	7.1	8.9	3.22	.452	21.00	24.00