Leicester City had their most points with 5+ appearances and in the Premier League in a season in 2015-16, with 81 points.

fox stats 5 or more games with most points in a season

	CLUB	POINTS	M	SEASON	W	D	G	GC	XG	XGA	SH	SOT	PASS-ATT	PASS	POSS%	FOUL	YC	RC
1	Leicester	81	35	2015-16	23	12	65	28			492	166	12,682	9,038	43.2	379	47	2
2	Leicester	66	26	2020-21	20	6	58	18			339	134	13,313	10,965	54.6	262	38	0
3	Leicester	62	26	2019-20	18	8	61	14			399	146	13,998	11,691	59.9	282	28	1
4	Leicester	55	23	1999-00	16	7	48	21									32	1
5	Leicester	53	27	1997-98	13	14	41	18									30	1
6	Leicester	52	24	2021-22	14	10	50	23	34.65	32.90	292	112	11,378	9,157	51.8	216	28	0
7	Leicester	52	22	2018-19	15	7	38	13			285	110	9,632	7,623	49.3	200	28	3
8	Leicester	49	25	1998-99	12	13	31	14									35	1
9	Leicester	48	20	2000-01	14	6	32	10									25	1
10	Leicester	47	23	2017-18	12	11	40	17			286	102	9,712	7,358	50.1	216	32	3
11	Leicester	47	23	1996-97	12	11	37	19									26	0
12	Leicester	44	20	2016-17	12	8	38	16			251	92	7,043	4,960	42.3	228	37	1
13	Leicester	41	19	2014-15	11	8	35	16			252	75	6,380	4,429	42.9	238	20	2
14	Leicester	34	16	2022-23	9	7	34	13	25.07	23.72	192	73	7,016	5,603	46.3	177	26	0
15	Leicester	33	21	2003-04	6	15	34	20									35	2
16	Leicester	29	17	1994-95	6	11	29	21									28	1
17	Leicester	28	18	2001-02	5	13	23	17									37	3
18	Leicester	25	13	2024-25	6	7	24	15	18.21	23.38	150	52	5,153	4,167	46.1	151	32	0