Here is scenario in which KT finishes in first place with 34 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
          Kiwoom	71	70	3	0.5035	0.0
           Lotte	71	70	3	0.5035	0.0
         Samsung	72	71	1	0.5035	0.0
          Hanwha	70	70	4	0.5000	0.5
              LG	70	70	4	0.5000	0.5
              NC	69	69	6	0.5000	0.5
             SSG	70	70	4	0.5000	0.5
             KIA	71	72	1	0.4965	1.0
          Doosan	68	71	5	0.4892	2.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
          Hanwha	42	29	1	72	0.592	0.0
              LG	41	29	2	72	0.586	0.5
           Lotte	39	31	3	71	0.557	2.5
         Samsung	38	33	1	72	0.535	4.0
             KIA	37	33	1	73	0.529	4.5
             SSG	36	33	2	73	0.522	5.0
              KT	36	34	3	71	0.514	5.5
              NC	31	34	4	75	0.477	8.0
          Doosan	28	41	3	72	0.406	13.0
          Kiwoom	21	52	2	69	0.288	22.0

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	-	5	0	0	0	10	7	0	7	11	40
Hanwha	0	-	2	0	6	4	6	0	10	0	28
KIA	7	6	-	0	1	7	0	9	4	0	34
Kiwoom	6	10	7	-	7	6	7	3	0	4	50
KT	7	2	3	0	-	0	7	0	9	6	34
LG	0	2	4	0	11	-	3	4	1	4	29
Lotte	0	0	10	0	0	8	-	9	0	5	32
NC	10	6	0	4	10	0	1	-	7	0	38
Samsung	0	0	2	11	0	6	8	0	-	7	34
SSG	0	10	11	3	0	0	0	10	0	-	34
-----------------------------------------------------------------------------------
Losses	30	41	39	18	35	41	39	35	38	37

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	2	0	0	1	0	0	2	0	0	2
Hanwha	2	-	0	0	0	1	0	1	0	0	3
KIA	0	0	-	1	0	0	0	0	0	0	0
Kiwoom	0	0	0	-	0	1	0	1	0	0	1
KT	0	0	0	0	-	0	2	0	0	2	2
LG	0	0	0	1	0	-	1	1	0	0	2
Lotte	0	0	0	0	0	0	-	0	0	0	0
NC	0	1	0	0	0	1	0	-	0	1	2
Samsung	0	0	0	0	0	0	0	0	-	1	0
SSG	0	0	0	0	2	0	0	0	0	-	2
-----------------------------------------------------------------------------------
Total	2	3	0	1	2	2	0	2	0	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	-	9	2	7	2	13	11	1	11	12	68
Hanwha	5	-	7	5	11	8	10	6	14	4	70
KIA	14	9	-	5	8	9	4	13	7	2	71
Kiwoom	9	11	10	-	9	9	9	5	0	9	71
KT	13	5	8	7	-	3	9	2	14	9	70
LG	3	7	7	6	13	-	6	10	6	12	70
Lotte	5	6	12	7	5	9	-	12	5	10	71
NC	13	9	3	10	14	5	4	-	10	1	69
Samsung	5	2	9	16	2	10	11	6	-	11	72
SSG	4	12	14	7	5	4	6	14	4	-	70
-----------------------------------------------------------------------------------
Losses	71	70	72	70	69	70	70	69	71	70

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	2	0	0	1	0	0	2	0	0	5
Hanwha	2	-	0	0	0	1	0	1	0	0	4
KIA	0	0	-	1	0	0	0	0	0	0	1
Kiwoom	0	0	0	-	0	1	0	1	0	0	3
KT	0	0	0	0	-	0	2	0	0	2	5
LG	0	0	0	1	0	-	1	1	0	0	4
Lotte	0	0	0	0	0	0	-	0	0	0	3
NC	0	1	0	0	0	1	0	-	0	1	6
Samsung	0	0	0	0	0	0	0	0	-	1	1
SSG	0	0	0	0	2	0	0	0	0	-	4
-----------------------------------------------------------------------------------
Total	5	4	1	3	5	4	3	6	1	4