what would be the highest career batting average line up modern era

Since 1900, Ty Cobb has the highest batting average, with an average of .366.

Interpreted as:

What would be the highest career batting average with a minimum of 1.55 PA per team game by a player line up modern era?

	NAME	AVG	G	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Ty Cobb T. Cobb	.366	3,034	11,434	2,244	4,189	724	295	117	1,933	1,249	94	681	897		13,068	5,854	1,136	291				.433	.512	.945	2534	1,093.6	.445	165	975.1
2	Rogers Hornsby R. Hornsby	.358	2,259	8,173	1,579	2,930	541	169	301	1,584	1,038	48	679	135		9,475	4,712	1,011	216				.434	.577	1.010	2018	899	.459	173	863.2
3	Joe Jackson J. Jackson	.356	1,332	4,981	873	1,772	307	168	54	785	519	59	234	202		5,690	2,577	529	131				.423	.517	.940	1090	480.3	.443	165	429.2
4	Lefty O'Doul L. O'Doul	.349	970	3,264	624	1,140	175	41	113	542	333	23	122	36		3,659	1,736	329	39				.413	.532	.945	717	250.6	.426	142	211.5
5	Ed Delahanty E. Delahanty	.349	435	1,710	313	596	124	41	21	331	180	17	121	64		1,932	865	186	25				.416	.506	.922	397	150.3	.432	152	134.5
6	Tristram Speaker T. Speaker	.345	2,789	10,195	1,882	3,514	792	222	117	1,531	1,381	103	394	436		11,988	5,101	1,131	309				.428	.500	.928	2264	921	.436	157	812.3
7	Ted Williams T. Williams	.344	2,292	7,706	1,798	2,654	525	71	521	1,839	2,021	39	709	24	4	9,791	4,884	1,117	5	20	86	197	.482	.634	1.116	2349	1,219.7	.493	188	1,067
8	Babe Ruth B. Ruth	.342	2,503	8,399	2,174	2,873	506	136	714	2,214	2,062	43	1,330	123		10,617	5,793	1,356	113				.474	.690	1.164	2727	1,436.8	.513	197	1,369.6
9	Harry Heilmann H. Heilmann	.342	2,147	7,787	1,291	2,660	542	151	183	1,540	856	40	550	113		8,960	4,053	876	277				.410	.520	.930	1682	619.2	.427	144	524
10	Bill Terry B. Terry	.341	1,721	6,428	1,120	2,193	373	112	154	1,078	537	9	449	56		7,111	3,252	639	137				.393	.506	.899	1265	365	.407	136	346.7
11	George Sisler G. Sisler	.340	2,055	8,267	1,284	2,812	425	164	102	1,178	472	48	327	375		9,013	3,871	691	226				.379	.468	.847	1424	363.9	.393	123	244.2
12	Lou Gehrig L. Gehrig	.340	2,164	8,001	1,888	2,721	534	163	493	1,995	1,508	45	790	102		9,660	5,060	1,190	106			2	.447	.632	1.080	2265	1,046.8	.477	173	980
13	Tony Gwynn T. Gwynn	.338	2,440	9,288	1,383	3,141	543	85	135	1,138	790	24	434	319	125	10,232	4,259	763	45	85	203	259	.388	.459	.847	1582	379.2	.370	132	390.4
14	Nap Lajoie N. Lajoie	.336	2,090	7,949	1,178	2,674	543	113	57	1,233	467	105	281	315		8,727	3,614	713	206				.381	.455	.836	1442	499.6	.398	145	453.1
15	Riggs Stephenson R. Stephenson	.336	1,310	4,508	714	1,515	321	54	63	773	494	41	247	53		5,134	2,133	438	91				.407	.473	.880	894	250.4	.405	132	216.5
16	Al Simmons A. Simmons	.334	2,215	8,759	1,507	2,927	539	149	307	1,828	615	30	737	88		9,515	4,685	995	111			23	.380	.535	.915	1714	519.5	.410	130	400.1
17	Mike Donlin M. Donlin	.333	983	3,588	620	1,196	167	91	45	516	295	19	278	193		3,995	1,680	303	93				.387	.468	.855	700	250.1	.405	141	194.7
18	Paul Waner P. Waner	.333	2,549	9,459	1,627	3,152	605	191	113	1,309	1,091	38	376	104		10,762	4,478	909	174			45	.404	.473	.878	1868	537	.403	135	487.9
19	Eddie Collins E. Collins	.333	2,826	9,949	1,821	3,315	438	187	47	1,300	1,499	77	468	741		12,037	4,268	672	512				.424	.429	.853	2032	693.4	.409	144	619.7
20	Dale Alexander D. Alexander	.331	662	2,450	369	811	164	30	61	459	248	6	197	20		2,736	1,218	255	32				.394	.497	.891	483	129.2	.402	126	99.7
21	Stan Musial S. Musial	.331	3,026	10,972	1,949	3,630	725	177	475	1,951	1,599	53	696	78	31	12,712	6,134	1,377	35	53	127	243	.417	.559	.976	2474	1,032.5	.435	158	896.7
22	Heinie Manush H. Manush	.330	2,008	7,654	1,288	2,524	491	160	110	1,183	506	70	345	113		8,416	3,665	761	186			1	.377	.479	.856	1366	310	.389	120	222.9
23	Ray Grimes R. Grimes	.329	433	1,537	269	505	101	25	27	263	204	17	133	21		1,788	737	153	30				.413	.480	.892	316	93.4	.412	135	81.7
24	Honus Wagner H. Wagner	.328	2,433	9,034	1,521	2,967	551	232	82	1,474	877	107	665	639		10,220	4,228	865	202				.394	.468	.862	1775	665.8	.411	150	598.7
25	Wade Boggs W. Boggs	.328	2,439	9,180	1,513	3,010	578	61	118	1,014	1,412	23	745	24	35	10,740	4,064	757	29	96	180	236	.415	.443	.858	1746	493.9	.381	132	411