who was the last team to have a 0 run differential in a full season

The Chicago Cubs had a run differential of 0 runs in 2016.

		TEAM	DIFF	SEASON	G	W%	W	L	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1		Cubs	0	2016	1		0	0	18	1	4	1	0	0	1	0	0	5	0	0	20	5	1	1	1	0	0	.222	.211	.278	.488
2		Pirates	0	2016	1		0	0	16	1	2	0	0	0	1	2	0	4	0	0	19	2	0	0	1	0	1	.125	.211	.125	.336
3		Reds	0	2005	1		0	0	28	2	8	0	0	0	2	7	0	9	0	1	35	8	0	0	0	0	0	.286	.429	.286	.714
4		Astros	0	2005	1		0	0	27	2	5	2	0	0	2	2	0	6	0	0	29	7	2	0	0	0	0	.185	.241	.259	.501
5		Orioles	0	2003	1		0	0	19	1	5	2	0	0	1	1	0	6	0	0	20	7	2	0	0	0	0	.263	.300	.368	.668
6		Yankees	0	2003	1		0	0	20	1	5	2	0	0	1	2	1	4	2	0	23	7	2	0	0	1	0	.250	.348	.350	.698
7		Braves	0	2002	1		0	0	31	3	5	2	0	0	3	9	0	8	1	0	40	7	2	0	0	0	0	.161	.350	.226	.576
8		Giants	0	2002	1		0	0	32	3	5	2	0	1	3	3	0	5	0	1	36	10	3	0	1	0	0	.156	.222	.313	.535
9		Orioles	0	2001	1		0	0	53	1	8	0	0	1	1	7	1	15	3	0	62	11	1	1	0	0	0	.151	.262	.208	.470
10		Yankees	0	2001	1		0	0	48	1	5	0	0	1	1	5	1	17	1	1	56	8	1	2	0	1	0	.104	.204	.167	.370
11		Reds	0	2000	1		0	0	19	3	5	1	0	1	3	1	0	4	0	0	20	9	2	0	0	0	0	.263	.300	.474	.774
12		Brewers	0	2000	1		0	0	22	3	7	1	0	0	2	5	0	1	1	0	27	8	1	0	0	0	0	.318	.444	.364	.808
13		White Sox	0	1999	1		0	0	22	1	4	2	0	0	1	0	0	4	0	0	22	6	2	0	0	0	0	.182	.182	.273	.455
14		Twins	0	1999	1		0	0	25	1	6	2	0	0	1	2	0	4	0	0	27	8	2	0	0	0	1	.240	.296	.320	.616
15		Pirates	0	1998	1		0	0	23	5	6	1	0	0	4	6	1	4	1	0	30	7	1	0	0	0	1	.261	.433	.304	.738
16		Cardinals	0	1998	1		0	0	27	5	7	4	0	0	4	6	0	1	3	0	33	11	4	0	0	2	0	.259	.394	.407	.801
17		White Sox	0	1998	1		0	0	23	5	7	3	0	1	5	6	0	4	0	1	29	13	4	0	0	0	0	.304	.448	.565	1.013
18		Blue Jays	0	1998	1		0	0	26	5	8	3	1	0	5	1	0	3	0	0	27	13	4	0	0	0	1	.308	.333	.500	.833
19		Orioles	0	1996	1		0	0	18	1	2	0	0	0	1	2	1	2	0	0	22	2	0	0	1	0	0	.111	.227	.111	.338
20		Rangers	0	1996	1		0	0	22	1	5	1	0	1	1	0	0	3	1	0	22	9	2	0	0	0	1	.227	.227	.409	.636
21		White Sox	0	1995	1		0	0	27	1	9	0	1	0	1	4	0	3	0	2	31	11	1	0	0	1	1	.333	.419	.407	.827
22		Yankees	0	1995	1		0	0	20	1	2	1	0	1	1	5	0	6	0	0	25	6	2	0	0	0	0	.100	.280	.300	.580
23		Reds	0	1994	1		0	0	23	8	10	1	1	0	6	2	1	3	0	0	26	13	2	0	0	0	2	.435	.500	.565	1.065
24		Cardinals	0	1994	1		0	0	24	8	9	1	0	2	7	4	0	3	0	0	29	16	3	0	1	0	0	.375	.448	.667	1.115
25		Cubs	0	1993	1		0	0	18	2	4	0	0	0	1	1	0	1	0	0	20	4	0	0	1	0	0	.222	.250	.222	.472

Some of the information used here was obtained free of charge from Retrosheet.

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DATE	MATCHUP			TIME (ET)
Thu 6/5	CHC	@	WSH	6:45 PM
Fri 6/6	CHC	@	DET	7:10 PM
Sat 6/7	CHC	@	DET	1:10 PM
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AL East	W	L	PCT	GB
Yankees	37	23	.617
Rays	32	29	.525	5.5
AL Central	W	L	PCT	GB
Tigers	40	22	.645
Guardians	33	27	.550	6.0
AL West	W	L	PCT	GB
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Mon 5/19	CIN	@	PIT	0-1
Mon 5/19	NYM	@	BOS	0-2
Mon 5/19	ATL	@	WSH	3-5
Mon 5/19	TEX	@	NYY	2-5
Mon 5/19	HOU	@	TBR	2-3

Schedule

DATE	MATCHUP			TIME (ET)
Thu 6/5	AZ	@	ATL	12:15 PM
Thu 6/5	KCR	@	STL	1:45 PM
Thu 6/5	DET	@	CWS	2:10 PM
Thu 6/5	PHI	@	TOR	3:07 PM
Thu 6/5	MIN	@	ATH	3:35 PM