Here is scenario in which NC wins 13 additional games (71 total) but does not finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             KIA	83	57	4	0.5929	0.0
         Samsung	78	62	4	0.5571	5.0
              KT	72	68	4	0.5143	11.0
              LG	72	68	4	0.5143	11.0
          Doosan	72	69	3	0.5106	11.5
              NC	71	71	2	0.5000	13.0
          Hanwha	67	73	4	0.4786	16.0
          Kiwoom	65	78	1	0.4545	19.5
             SSG	63	77	4	0.4500	20.0
           Lotte	59	79	6	0.4275	23.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
             KIA	81	50	2	11	0.618	0.0
         Samsung	75	57	2	10	0.568	6.5
              LG	68	62	2	12	0.523	12.5
              KT	67	65	2	10	0.508	14.5
          Doosan	65	66	2	11	0.496	16.0
             SSG	62	68	2	12	0.477	18.5
           Lotte	59	67	4	14	0.468	19.5
          Hanwha	60	69	2	13	0.465	20.0
              NC	58	71	2	13	0.450	22.0
          Kiwoom	56	76	0	12	0.424	25.5

The next two tables show, respectively, how many of their remaining games each team wins and ties against each of the other teams in the scenario:

					Scenario Additional Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	0	1	1	0	3	0	0	1	1	7
Hanwha	0	-	1	0	0	0	5	0	0	1	7
KIA	0	0	-	0	0	0	1	0	0	1	2
Kiwoom	0	0	2	-	3	0	0	0	2	2	9
KT	1	0	0	0	-	0	1	0	1	2	5
LG	0	0	0	1	0	-	3	0	0	0	4
Lotte	0	0	0	0	0	0	-	0	0	0	0
NC	2	4	1	0	0	2	2	-	0	2	13
Samsung	0	0	2	0	0	1	0	0	-	0	3
SSG	0	0	0	0	0	0	0	0	1	-	1
-----------------------------------------------------------------------------------
Losses	3	4	7	2	3	6	12	0	5	9

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	0	2	0	0	0	1
Hanwha	0	-	0	1	0	1	0	2	0	0	2
KIA	1	0	-	0	1	0	2	0	0	0	2
Kiwoom	0	1	0	-	0	0	0	0	0	0	1
KT	0	0	1	0	-	0	1	0	2	0	2
LG	0	1	0	0	0	-	0	0	1	2	2
Lotte	2	0	2	0	1	0	-	0	0	0	2
NC	0	2	0	0	0	0	0	-	0	0	0
Samsung	0	0	0	0	2	1	0	0	-	1	2
SSG	0	0	0	0	0	2	0	0	1	-	2
-----------------------------------------------------------------------------------
Total	1	2	2	1	2	2	2	0	2	2

The next two tables show, respectively, how many total games each team wins and ties against each of the other teams in the scenario:

					Scenario Total Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	6	9	10	11	9	6	10	4	7	72
Hanwha	10	-	5	6	10	7	10	2	6	11	67
KIA	6	11	-	10	8	13	7	11	10	7	83
Kiwoom	6	9	6	-	5	10	8	7	8	6	65
KT	5	6	7	11	-	7	8	10	8	10	72
LG	7	8	3	6	9	-	12	11	6	10	72
Lotte	8	6	7	8	7	4	-	7	6	6	59
NC	6	12	5	9	6	5	9	-	6	13	71
Samsung	12	10	6	8	6	9	10	10	-	7	78
SSG	9	5	9	10	6	4	9	3	8	-	63
-----------------------------------------------------------------------------------
Losses	69	73	57	78	68	68	79	71	62	77

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	0	2	0	0	0	3
Hanwha	0	-	0	1	0	1	0	2	0	0	4
KIA	1	0	-	0	1	0	2	0	0	0	4
Kiwoom	0	1	0	-	0	0	0	0	0	0	1
KT	0	0	1	0	-	0	1	0	2	0	4
LG	0	1	0	0	0	-	0	0	1	2	4
Lotte	2	0	2	0	1	0	-	0	0	1	6
NC	0	2	0	0	0	0	0	-	0	0	2
Samsung	0	0	0	0	2	1	0	0	-	1	4
SSG	0	0	0	0	0	2	1	0	1	-	4
-----------------------------------------------------------------------------------
Total	3	4	4	1	4	4	6	2	4	4