Here is scenario in which KT finishes in first place with 64 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
              KT	71	69	4	0.5071	0.0
             KIA	73	71	0	0.5069	0.0
              NC	71	70	3	0.5035	0.5
         Samsung	72	71	1	0.5035	0.5
          Doosan	70	70	4	0.5000	1.0
          Hanwha	70	70	4	0.5000	1.0
          Kiwoom	70	70	4	0.5000	1.0
           Lotte	70	70	4	0.5000	1.0
             SSG	70	70	4	0.5000	1.0
              LG	67	73	4	0.4786	4.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
             KIA	16	6	0	122	0.727	0.0
              NC	14	8	0	122	0.636	2.0
             SSG	14	10	0	120	0.583	3.0
          Kiwoom	12	9	0	123	0.571	3.5
              LG	12	11	1	120	0.522	4.5
          Hanwha	11	11	0	122	0.500	5.0
         Samsung	11	11	1	121	0.500	5.0
          Doosan	10	14	0	120	0.417	7.0
              KT	7	17	0	120	0.292	10.0
           Lotte	6	16	0	122	0.273	10.0

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	9	11	0	0	13	14	0	13	60
Hanwha	13	-	0	10	0	14	7	0	15	0	59
KIA	4	13	-	0	13	13	0	9	5	0	57
Kiwoom	0	3	15	-	13	13	0	0	14	0	58
KT	13	12	0	0	-	9	8	13	0	9	64
LG	13	0	0	0	1	-	13	13	0	15	55
Lotte	0	7	14	13	7	0	-	0	13	10	64
NC	0	11	6	14	0	0	13	-	13	0	57
Samsung	13	0	8	0	14	13	0	0	-	13	61
SSG	0	13	13	13	4	0	0	13	0	-	56
-----------------------------------------------------------------------------------
Losses	56	59	65	61	52	62	54	62	60	60

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

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	-	2	10	12	2	2	14	15	0	13	70
Hanwha	14	-	0	10	3	15	8	1	16	3	70
KIA	6	16	-	1	15	16	2	10	6	1	73
Kiwoom	0	6	15	-	14	15	3	0	16	1	70
KT	14	12	1	2	-	10	8	14	0	10	71
LG	14	1	0	1	3	-	15	15	2	16	67
Lotte	2	8	14	13	8	1	-	1	13	10	70
NC	1	12	6	16	2	1	15	-	15	3	71
Samsung	16	0	10	0	16	13	3	1	-	13	72
SSG	3	13	15	15	6	0	2	13	3	-	70
-----------------------------------------------------------------------------------
Losses	70	70	71	70	69	73	70	70	71	70

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