Here is scenario in which KT finishes in first place with 27 additional wins (70 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
              KT	70	69	5	0.5036	0.0	See explanation of tie-breakers below.
          Doosan	70	69	5	0.5036	0.0	See explanation of tie-breakers below.
             KIA	71	70	3	0.5035	0.0
         Samsung	71	70	3	0.5035	0.0
          Kiwoom	70	70	4	0.5000	0.5
              LG	71	71	2	0.5000	0.5
             SSG	70	70	4	0.5000	0.5
          Hanwha	70	71	3	0.4965	1.0
              NC	68	69	7	0.4964	1.0
           Lotte	69	71	4	0.4929	1.5

Explanation of Tie-breakers:
See https://s2.smu.edu/~olinick/RIOT_Dev-master/FAQ_KBO.html#wild-card.

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
          Hanwha	49	33	2	60	0.598	0.0
              LG	46	37	2	59	0.554	3.5
           Lotte	46	37	3	58	0.554	3.5
             KIA	45	37	3	59	0.549	4.0
             SSG	42	39	3	60	0.519	6.5
              KT	43	40	3	58	0.518	6.5
         Samsung	43	41	1	59	0.512	7.0
              NC	37	40	5	62	0.481	9.5
          Doosan	34	48	3	59	0.415	15.0
          Kiwoom	26	59	3	56	0.306	24.5

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	-	7	4	0	0	8	0	6	3	8	36
Hanwha	0	-	2	0	0	6	6	0	0	7	21
KIA	3	6	-	3	4	2	2	2	4	0	26
Kiwoom	6	6	1	-	4	7	7	4	3	6	44
KT	3	7	0	0	-	0	1	7	9	0	27
LG	0	0	6	0	9	-	8	2	0	0	25
Lotte	7	0	5	0	3	0	-	3	5	0	23
NC	0	4	7	3	1	3	5	-	5	3	31
Samsung	1	8	2	5	0	4	0	1	-	7	28
SSG	1	0	6	0	8	4	5	4	0	-	28
-----------------------------------------------------------------------------------
Losses	21	38	33	11	29	34	34	29	29	31

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

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	-	11	6	7	4	12	4	8	8	10	70
Hanwha	5	-	7	9	5	10	10	7	5	12	70
KIA	10	9	-	9	11	6	8	6	7	5	71
Kiwoom	9	7	5	-	7	10	9	6	6	11	70
KT	10	10	5	9	-	4	5	10	14	3	70
LG	4	5	10	6	12	-	12	8	6	8	71
Lotte	12	6	8	7	9	3	-	7	12	5	69
NC	5	8	10	9	6	8	9	-	8	5	68
Samsung	8	11	9	10	2	10	3	7	-	11	71
SSG	6	4	10	4	13	8	11	10	4	-	70
-----------------------------------------------------------------------------------
Losses	69	71	70	70	69	71	71	69	70	70

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	2	0	0	3	0	0	5
Hanwha	0	-	0	0	1	1	0	1	0	0	3
KIA	0	0	-	2	0	0	0	0	0	1	3
Kiwoom	0	0	0	-	0	0	0	1	0	1	4
KT	1	1	0	0	-	0	2	0	0	0	5
LG	0	0	0	0	0	-	1	0	0	0	2
Lotte	0	0	0	0	0	0	-	0	1	0	4
NC	1	0	0	0	0	0	0	-	1	1	7
Samsung	0	0	0	0	0	0	1	1	-	1	3
SSG	0	0	0	1	0	0	0	0	0	-	4
-----------------------------------------------------------------------------------
Total	5	3	3	4	5	2	4	7	3	4