Between the 2015 and 2022 seasons, the Boston Red Sox put up the most runs by a team, with 6,044 runs.

	TEAM	R	G	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Red Sox	6,044	1,194	.544	650	544	41,489	11,030	2,439	177	1,445	5,728	3,943	391	9,471	576	193	46,234	18,158	4,061	100	311	237	944	.266	.333	.438	.771
2	Astros	5,945	1,194	.595	711	483	40,675	10,554	2,202	160	1,663	5,705	4,048	447	9,135	617	236	45,630	18,065	4,025	114	346	164	970	.259	.331	.444	.775
3	Yankees	5,929	1,194	.577	689	505	40,385	10,152	1,867	129	1,779	5,661	4,331	443	10,012	535	170	45,604	17,614	3,775	108	337	158	891	.251	.328	.436	.764
4	Dodgers	5,878	1,195	.623	745	450	40,389	10,148	2,114	181	1,678	5,603	4,439	514	10,004	505	165	45,878	17,658	3,973	242	294	262	820	.251	.331	.437	.768
5	Rockies	5,733	1,194	.469	560	634	40,892	10,727	2,127	301	1,410	5,493	3,502	340	10,150	551	232	45,336	17,686	3,838	318	284	237	873	.262	.324	.433	.756
6	Blue Jays	5,701	1,194	.513	613	581	40,511	10,228	2,139	106	1,689	5,478	3,951	381	9,709	474	182	45,259	17,646	3,934	132	284	96	958	.252	.323	.436	.758
7	Twins	5,604	1,194	.497	593	601	40,744	10,263	2,107	193	1,532	5,358	3,833	409	9,980	437	185	45,421	17,352	3,832	131	304	164	817	.252	.320	.426	.746
8	Nationals	5,549	1,194	.499	596	598	40,287	10,363	2,062	177	1,401	5,301	4,039	455	9,495	685	223	45,409	16,982	3,640	298	330	303	909	.257	.329	.422	.751
9	Cubs	5,521	1,195	.544	650	544	40,224	9,953	1,967	214	1,459	5,254	4,240	641	10,718	555	248	45,625	16,725	3,640	252	268	288	881	.247	.327	.416	.743
10	Guardians	5,514	1,192	.560	668	524	40,303	10,205	2,144	182	1,366	5,252	3,927	437	9,103	799	207	45,231	16,811	3,692	215	349	200	864	.253	.324	.417	.741
11	Braves	5,495	1,192	.518	618	574	40,606	10,354	2,123	163	1,396	5,263	3,835	451	9,812	569	216	45,469	16,991	3,682	298	279	310	856	.255	.324	.418	.743
12	Diamondbacks	5,440	1,194	.468	559	635	40,769	10,091	2,106	300	1,335	5,158	3,880	409	10,282	709	196	45,627	16,802	3,741	261	308	242	820	.248	.317	.412	.729
13	Cardinals	5,428	1,192	.555	661	531	40,048	10,007	1,989	182	1,419	5,179	3,931	556	9,777	566	213	45,112	16,617	3,590	258	319	212	835	.250	.323	.415	.738
14	Rangers	5,418	1,194	.466	556	638	40,278	9,855	1,882	177	1,468	5,142	3,628	511	10,383	801	276	44,881	16,495	3,527	166	298	132	753	.245	.313	.410	.722
15	Athletics	5,329	1,194	.492	588	606	40,321	9,753	2,077	170	1,440	5,080	3,826	475	9,736	461	162	45,004	16,490	3,687	94	288	119	923	.242	.313	.409	.722
16	Rays	5,307	1,194	.536	640	554	40,441	9,998	2,046	233	1,419	5,042	3,840	539	10,756	688	292	45,215	16,767	3,698	102	293	161	766	.247	.319	.415	.733
17	Brewers	5,291	1,195	.521	622	573	40,060	9,755	1,910	156	1,519	5,056	4,108	464	10,945	811	245	45,127	16,534	3,585	235	260	236	897	.244	.319	.413	.732
18	Mets	5,250	1,194	.514	614	580	40,310	10,015	1,972	167	1,464	5,049	3,818	606	9,778	414	190	45,204	16,713	3,603	211	259	244	914	.248	.321	.415	.736
19	Mariners	5,250	1,194	.506	604	590	40,350	9,848	1,854	151	1,492	5,027	3,827	505	10,127	605	259	45,104	16,480	3,497	140	282	145	850	.244	.315	.408	.724
20	Angels	5,218	1,194	.475	567	627	40,157	9,843	1,871	161	1,417	4,985	3,681	457	9,338	592	215	44,741	16,287	3,449	162	284	223	909	.245	.314	.406	.719
21	Reds	5,183	1,194	.434	518	676	40,169	9,913	1,875	184	1,417	4,961	3,808	550	10,069	673	265	45,087	16,407	3,476	281	279	208	896	.247	.319	.408	.727
22	White Sox	5,166	1,193	.473	564	629	40,663	10,338	1,953	194	1,289	4,941	3,216	501	10,285	512	216	44,840	16,546	3,436	195	265	106	894	.254	.315	.407	.722
23	Phillies	5,164	1,194	.467	558	636	40,304	9,880	1,949	227	1,351	4,917	3,720	427	10,285	607	201	44,956	16,336	3,527	247	258	226	817	.245	.314	.405	.719
24	Orioles	5,158	1,194	.424	506	688	40,637	10,048	1,917	125	1,546	4,935	3,253	448	10,272	428	171	44,722	16,853	3,588	123	261	108	859	.247	.308	.415	.723
25	Giants	5,150	1,194	.504	602	592	40,674	10,114	2,046	234	1,199	4,919	3,787	412	9,794	521	206	45,409	16,225	3,479	221	315	243	899	.249	.317	.399	.716