Here is scenario in which KT wins 12 additional games (77 total) but does not finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Hanwha	83	56	5	0.5971	0.0
              LG	81	58	5	0.5827	2.0
              KT	77	63	4	0.5500	6.5
           Lotte	70	66	8	0.5147	11.5
         Samsung	71	69	4	0.5071	12.5
             SSG	68	70	6	0.4928	14.5
             KIA	66	72	6	0.4783	16.5
              NC	65	71	8	0.4779	16.5
          Doosan	64	72	8	0.4706	17.5
          Kiwoom	46	94	4	0.3286	37.5

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              LG	80	49	3	12	0.620	0.0
          Hanwha	76	53	3	12	0.589	4.0
             SSG	65	60	4	15	0.520	13.0
              KT	65	63	4	12	0.508	14.5
         Samsung	66	64	2	12	0.508	14.5
           Lotte	63	64	6	11	0.496	16.0
              NC	61	62	6	15	0.496	16.0
             KIA	61	65	4	14	0.484	17.5
          Doosan	56	70	6	12	0.444	22.5
          Kiwoom	43	86	4	11	0.333	37.0

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	0	3	0	0	0	0	1	4	8
Hanwha	0	-	3	1	0	3	0	0	0	0	7
KIA	0	0	-	1	0	0	0	4	0	0	5
Kiwoom	0	0	0	-	0	0	1	1	0	1	3
KT	0	2	1	1	-	4	0	1	1	2	12
LG	1	0	0	0	0	-	0	0	0	0	1
Lotte	0	1	0	0	0	1	-	2	3	0	7
NC	1	0	0	0	0	0	0	-	0	3	4
Samsung	0	0	1	2	0	1	0	1	-	0	5
SSG	0	0	2	0	0	0	1	0	0	-	3
-----------------------------------------------------------------------------------
Losses	2	3	7	8	0	9	2	9	5	10

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	2	0	0	0	0	2	2	0	0	2
Hanwha	2	-	0	0	0	1	0	0	0	1	2
KIA	0	0	-	2	0	0	1	0	1	1	2
Kiwoom	0	0	2	-	0	0	0	1	0	1	0
KT	0	0	0	0	-	0	0	1	0	0	0
LG	0	1	0	0	0	-	2	2	0	0	2
Lotte	2	0	1	0	0	2	-	0	1	0	2
NC	2	0	0	1	1	2	0	-	0	1	2
Samsung	0	0	1	0	0	0	1	0	-	2	2
SSG	0	1	1	1	0	0	0	1	2	-	2
-----------------------------------------------------------------------------------
Total	2	2	2	0	0	2	2	2	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	-	8	6	12	4	6	7	5	7	9	64
Hanwha	6	-	12	14	9	8	9	9	8	8	83
KIA	9	4	-	8	8	5	8	10	7	7	66
Kiwoom	4	2	6	-	5	7	5	6	4	7	46
KT	11	7	8	11	-	8	6	7	11	8	77
LG	10	7	11	9	8	-	9	8	9	10	81
Lotte	7	7	7	11	8	5	-	9	10	6	70
NC	9	6	6	9	8	6	7	-	7	7	65
Samsung	9	8	8	12	5	7	5	9	-	8	71
SSG	7	7	8	8	8	6	10	8	6	-	68
-----------------------------------------------------------------------------------
Losses	72	56	72	94	63	58	66	71	69	70

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	2	1	0	1	0	2	2	0	0	8
Hanwha	2	-	0	0	0	1	0	1	0	1	5
KIA	1	0	-	2	0	0	1	0	1	1	6
Kiwoom	0	0	2	-	0	0	0	1	0	1	4
KT	1	0	0	0	-	0	2	1	0	0	4
LG	0	1	0	0	0	-	2	2	0	0	5
Lotte	2	0	1	0	2	2	-	0	1	0	8
NC	2	1	0	1	1	2	0	-	0	1	8
Samsung	0	0	1	0	0	0	1	0	-	2	4
SSG	0	1	1	1	0	0	0	1	2	-	6
-----------------------------------------------------------------------------------
Total	8	5	6	4	4	5	8	8	4	6