Since 2005, the Boston Red Sox have put up the most runs by a team, with 16,084 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	16,084	3,200	.538	1,721	1,479	110,921	29,615	6,604	486	3,716	15,300	11,155	1,158	24,405	1,777	543	124,535	48,339	10,806	365	936	735	2,546	.267	.338	.436	.773
2	Yankees	16,037	3,196	.574	1,835	1,361	108,908	28,223	5,280	407	4,353	15,354	11,693	1,247	24,136	1,910	568	123,215	47,376	10,040	462	905	555	2,517	.259	.335	.435	.770
3	Rangers	15,204	3,199	.497	1,590	1,609	109,390	28,218	5,540	506	3,836	14,469	9,785	1,146	24,672	2,081	701	121,744	46,278	9,882	560	863	499	2,253	.258	.323	.423	.746
4	Rockies	15,014	3,199	.453	1,449	1,750	109,436	28,755	5,766	797	3,479	14,331	9,899	969	25,918	1,751	710	122,259	46,552	10,042	1,140	815	703	2,355	.263	.327	.425	.753
5	Dodgers	15,007	3,198	.573	1,833	1,365	108,616	28,036	5,586	553	3,596	14,317	11,224	1,209	24,028	1,889	662	122,863	45,516	9,735	939	875	848	2,365	.258	.332	.419	.751
6	Blue Jays	14,864	3,197	.505	1,614	1,583	109,005	27,862	5,860	413	3,929	14,212	10,299	1,089	23,402	1,529	556	121,687	46,335	10,202	449	845	418	2,548	.256	.324	.425	.749
7	Twins	14,650	3,199	.496	1,586	1,613	109,388	28,132	5,609	576	3,337	13,920	10,247	1,113	23,953	1,568	601	122,146	44,904	9,522	520	878	572	2,467	.257	.325	.411	.735
8	Braves	14,638	3,194	.532	1,698	1,496	108,878	27,980	5,641	464	3,604	13,999	10,590	1,044	24,989	1,529	593	122,270	45,361	9,709	995	763	801	2,435	.257	.327	.417	.743
9	Phillies	14,606	3,197	.517	1,652	1,545	109,162	27,639	5,447	636	3,608	13,938	10,485	1,248	25,055	2,055	515	122,550	45,182	9,691	885	770	852	2,182	.253	.324	.414	.738
10	Guardians	14,599	3,193	.525	1,675	1,518	108,520	27,744	5,830	485	3,380	13,913	10,503	1,255	23,837	2,000	645	121,810	44,684	9,695	602	930	609	2,351	.256	.326	.412	.738
11	Cardinals	14,577	3,194	.544	1,737	1,457	108,433	28,133	5,534	458	3,375	13,881	10,415	1,286	23,122	1,469	618	121,971	44,708	9,367	988	849	814	2,502	.259	.329	.412	.742
12	Diamondbacks	14,467	3,197	.482	1,540	1,657	108,881	27,435	5,762	772	3,411	13,790	10,577	1,072	25,339	1,915	627	122,321	44,974	9,945	906	885	738	2,258	.252	.322	.413	.735
13	Angels	14,452	3,197	.512	1,636	1,561	108,686	27,799	5,317	493	3,477	13,766	9,671	1,108	23,297	2,082	795	120,901	44,533	9,287	570	866	671	2,493	.256	.321	.410	.730
14	Brewers	14,402	3,200	.519	1,661	1,539	107,986	27,086	5,450	532	3,757	13,755	10,524	1,335	26,197	2,237	701	121,516	44,871	9,739	910	761	706	2,364	.251	.323	.416	.738
15	Tigers	14,354	3,195	.490	1,566	1,629	109,591	28,568	5,506	717	3,330	13,745	9,425	977	24,811	1,351	568	121,343	45,498	9,553	510	840	548	2,488	.261	.323	.415	.738
16	Rays	14,343	3,198	.522	1,670	1,528	108,261	27,189	5,471	616	3,558	13,660	10,623	1,304	26,130	2,457	881	121,500	44,566	9,645	447	865	481	2,171	.251	.323	.412	.735
17	Cubs	14,318	3,196	.504	1,609	1,586	108,585	27,444	5,573	582	3,524	13,624	10,352	1,319	25,588	1,675	686	121,885	44,753	9,679	883	746	692	2,341	.253	.323	.412	.735
18	Astros	14,305	3,196	.511	1,633	1,562	108,567	27,741	5,534	463	3,605	13,658	9,928	1,153	23,729	1,887	727	121,272	45,016	9,602	793	831	555	2,510	.256	.322	.415	.737
19	Orioles	14,232	3,195	.461	1,474	1,721	109,514	28,009	5,461	400	3,814	13,623	9,060	1,092	24,137	1,526	555	120,924	45,712	9,675	465	793	444	2,435	.256	.317	.417	.734
20	Reds	14,156	3,200	.474	1,516	1,683	108,219	27,065	5,351	475	3,668	13,517	10,458	1,345	25,664	2,065	758	121,854	44,370	9,494	1,053	779	687	2,229	.250	.322	.410	.732
21	Mets	14,101	3,198	.508	1,626	1,572	108,441	27,351	5,438	554	3,403	13,478	10,404	1,326	24,111	1,997	622	121,926	44,106	9,395	942	813	809	2,330	.252	.323	.407	.730
22	Athletics	14,020	3,198	.491	1,570	1,628	108,388	26,656	5,466	468	3,393	13,346	10,710	1,112	24,235	1,659	519	121,470	43,237	9,327	412	848	393	2,500	.246	.318	.399	.717
23	Nationals	13,935	3,195	.481	1,538	1,657	108,029	27,472	5,522	512	3,234	13,261	10,285	1,233	24,368	1,991	722	121,419	43,720	9,268	1,043	829	724	2,416	.254	.324	.405	.729
24	White Sox	13,765	3,198	.469	1,501	1,697	108,755	27,556	5,126	432	3,530	13,197	8,954	1,245	24,544	1,762	772	120,329	44,136	9,088	607	768	419	2,475	.253	.315	.406	.721
25	Royals	13,531	3,198	.445	1,423	1,775	109,140	28,243	5,547	700	2,736	12,850	8,367	1,077	22,315	2,240	756	120,127	43,398	8,983	651	892	458	2,474	.259	.315	.398	.713