Here is scenario in which KT finishes in first place with 61 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Kiwoom	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
              KT	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
          Doosan	70	70	4	0.5000	1.0
          Hanwha	70	70	4	0.5000	1.0
              LG	70	70	4	0.5000	1.0
           Lotte	70	70	4	0.5000	1.0
         Samsung	70	70	4	0.5000	1.0
             SSG	70	70	4	0.5000	1.0
             KIA	69	71	4	0.4929	2.0
              NC	69	71	4	0.4929	2.0

Explanation of Tie-breakers:
Kiwoom and KT tie for first place and play a post-season game; the winner is awarded first place in the final standings and the loser is awarded second place.

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              LG	17	4	0	123	0.810	0.0
           Lotte	12	10	1	121	0.545	5.5
          Hanwha	12	11	0	121	0.522	6.0
              KT	10	10	1	123	0.500	6.5
         Samsung	11	11	0	122	0.500	6.5
             SSG	9	10	0	125	0.474	7.0
          Doosan	9	11	0	124	0.450	7.5
             KIA	9	12	0	123	0.429	8.0
              NC	7	10	0	127	0.412	8.0
          Kiwoom	8	15	0	121	0.348	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	-	13	2	3	13	1	13	0	3	13	61
Hanwha	0	-	0	13	0	11	0	10	11	13	58
KIA	10	13	-	7	3	6	4	9	8	0	60
Kiwoom	11	0	6	-	15	9	13	0	9	0	63
KT	0	14	10	0	-	12	0	12	1	12	61
LG	12	0	8	4	0	-	0	14	0	15	53
Lotte	0	14	9	0	13	14	-	0	1	7	58
NC	16	5	5	10	0	0	13	-	13	0	62
Samsung	9	0	5	5	13	13	14	0	-	0	59
SSG	1	0	14	12	2	0	3	16	13	-	61
-----------------------------------------------------------------------------------
Losses	59	59	59	54	59	66	60	61	59	60

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	3	0	0	0	0	0	1	0	4
Hanwha	0	-	0	0	0	2	0	0	2	0	4
KIA	3	0	-	0	0	0	0	0	1	0	4
Kiwoom	0	0	0	-	0	0	0	3	0	1	4
KT	0	0	0	0	-	2	1	1	0	0	3
LG	0	2	0	0	2	-	0	0	0	0	4
Lotte	0	0	0	0	0	0	-	0	0	3	3
NC	0	0	0	3	1	0	0	-	0	0	4
Samsung	1	2	1	0	0	0	0	0	-	0	4
SSG	0	0	0	1	0	0	3	0	0	-	4
-----------------------------------------------------------------------------------
Total	4	4	4	4	3	4	3	4	4	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	-	14	3	5	14	2	15	0	4	13	70
Hanwha	2	-	2	15	1	11	0	11	12	16	70
KIA	10	14	-	8	5	6	6	10	9	1	69
Kiwoom	11	1	8	-	16	10	13	1	9	2	71
KT	2	15	11	0	-	13	1	14	3	12	71
LG	14	3	10	6	1	-	2	16	2	16	70
Lotte	1	16	10	3	14	14	-	2	2	8	70
NC	16	5	6	12	1	0	14	-	15	0	69
Samsung	11	2	6	7	13	14	14	1	-	2	70
SSG	3	0	15	13	4	0	5	16	14	-	70
-----------------------------------------------------------------------------------
Losses	70	70	71	69	69	70	70	71	70	70

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