The Boston Red Sox had the most runs by a team in a game in 1986, with 24 runs versus the Cleveland Indians on August 21, 1986.

Interpreted as:

MLB team most run in a regular-season game 1986

	TEAM	R	DATE	TM		OPP	RESULT	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	24	8/21/1986	BOS	@	CLE	W 24-5	51	24	2	0	3	23	9	1	2	0	0	61	35	5	0	0	0	0	.471	.557	.686	1.244
2	Phillies	19	6/23/1986	PHI	vs	CHC	W 19-1	42	20	11	0	4	19	7	0	7	3	0	51	43	15	1	1	0	0	.476	.540	1.024	1.564
3	Rangers	19	5/12/1986	TEX	@	CLE	W 19-2	43	22	3	0	1	18	9	1	5	0	3	55	28	4	1	1	0	2	.512	.593	.651	1.244
4	Angels	18	9/18/1986	CAL	vs	KCR	W 18-3	42	20	4	2	3	18	9	1	8	1	0	53	37	9	1	0	1	1	.476	.577	.881	1.458
5	Giants	18	6/23/1986	SFG	vs	SDP	W 18-1	43	21	3	1	2	18	3	0	9	0	0	49	32	6	1	2	1	0	.488	.500	.744	1.244
6	Orioles	18	6/8/1986	BAL	@	NYY	W 18-9	46	22	2	0	4	17	8	0	4	0	2	55	36	6	1	0	0	1	.478	.556	.783	1.338
7	Indians	17	9/6/1986	CLE	@	MIL	W 17-9	51	23	5	0	4	16	2	0	4	0	0	53	40	9	0	0	1	1	.451	.472	.784	1.256
8	Red Sox	17	5/20/1986	BOS	vs	MIN	W 17-7	46	20	5	0	0	14	4	1	6	0	0	51	25	5	0	0	0	0	.435	.490	.543	1.034
9	Athletics	17	5/6/1986	OAK	@	TOR	W 17-3	43	17	4	1	4	15	4	0	4	0	0	50	35	9	0	3	0	0	.395	.420	.814	1.234
10	Pirates	16	8/22/1986	PIT	vs	ATL	W 16-5	41	19	1	1	2	15	3	0	7	3	0	46	28	4	1	1	1	0	.463	.489	.683	1.172
11	Phillies	16	6/1/1986	PHI	vs	SDP	W 16-5	34	15	2	0	3	15	12	1	5	2	1	49	26	5	0	2	1	1	.441	.571	.765	1.336
12	Brewers	16	5/9/1986	MIL	@	CAL	W 16-5	43	18	4	0	2	15	7	1	5	1	0	53	28	6	1	1	0	1	.419	.500	.651	1.151
13	Indians	15	9/4/1986	CLE	@	MIL	W 15-4	44	17	2	0	3	14	1	0	8	1	0	47	28	5	1	1	0	0	.386	.391	.636	1.028
14	Tigers	15	8/7/1986	DET	vs	CLE	W 15-1	43	20	2	0	2	14	5	0	5	0	0	48	28	4	0	0	0	2	.465	.521	.651	1.172
15	Mariners	15	7/12/1986	SEA	@	MIL	W 15-9	44	18	2	1	1	13	4	0	5	0	0	49	25	4	0	1	0	0	.409	.449	.568	1.017
16	Blue Jays	15	6/22/1986	TOR	vs	NYY	W 15-1	39	16	5	1	2	14	6	0	4	2	0	46	29	8	0	1	0	0	.410	.478	.744	1.222
17	Rangers	14	9/13/1986	TEX	@	MIN	W 14-1	43	16	4	1	7	14	3	0	7	0	0	46	43	12	0	0	1	0	.372	.413	1.000	1.413
18	Dodgers	14	9/11/1986	LAD	vs	HOU	W 14-6	36	12	2	0	3	10	5	1	5	1	1	42	23	5	0	0	0	0	.333	.429	.639	1.067
19	Reds	14	9/10/1986	CIN	@	SFG	W 14-2	43	18	1	0	3	13	7	0	4	2	0	51	28	4	1	0	0	3	.419	.500	.651	1.151
20	Tigers	14	8/23/1986	DET	vs	SEA	W 14-0	37	14	2	1	1	13	10	0	6	3	0	47	21	4	0	0	0	0	.378	.511	.568	1.078
21	Twins	14	8/14/1986	MIN	@	SEA	W 14-1	42	15	4	0	0	13	5	0	8	0	1	48	19	4	0	1	0	0	.357	.417	.452	.869
22	Angels	14	7/8/1986	CAL	@	MIL	W 14-3	40	15	2	0	4	13	11	1	3	0	1	52	29	6	0	0	0	3	.375	.519	.725	1.244
23	Yankees	14	7/7/1986	NYY	@	TEX	W 14-3	39	14	4	1	2	13	10	1	5	0	1	50	26	7	0	0	0	1	.359	.500	.667	1.167
24	Blue Jays	14	6/27/1986	TOR	@	NYY	W 14-7	47	19	6	1	3	14	0	0	7	0	0	48	36	10	0	1	0	0	.404	.396	.766	1.162
25	Pirates	14	6/21/1986	PIT	@	MON	W 14-1	43	17	3	0	1	13	4	0	5	0	0	48	23	4	0	1	0	1	.395	.438	.535	.972