Here is scenario in which KT wins 88 additional games (118 total) but does not necessarily finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
         Samsung	118	25	1	0.8252	0.0	See explanation of tie-breakers below.
              KT	118	25	1	0.8252	0.0	See explanation of tie-breakers below.
          Hanwha	89	52	3	0.6312	28.0
              LG	88	52	4	0.6286	28.5
          Doosan	72	68	4	0.5143	44.5
             KIA	69	72	3	0.4894	48.0
          Kiwoom	50	91	3	0.3546	67.0
              NC	43	100	1	0.3007	75.0
           Lotte	37	103	4	0.2643	79.5
             SSG	22	118	4	0.1571	94.5

Explanation of Tie-breakers:
KT and Samsung 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
         Samsung	30	19	1	94	0.612	0.0
              LG	31	20	0	93	0.608	0.0
              KT	30	20	1	93	0.600	0.5
             KIA	28	23	1	92	0.549	3.0
          Hanwha	25	25	0	94	0.500	5.5
          Doosan	24	27	1	92	0.471	7.0
             SSG	22	28	1	93	0.440	8.5
           Lotte	21	28	1	94	0.429	9.0
              NC	20	29	1	94	0.408	10.0
          Kiwoom	20	32	1	91	0.385	11.5

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	10	11	0	0	10	0	0	10	48
Hanwha	0	-	10	11	0	10	12	11	0	10	64
KIA	0	0	-	10	0	0	10	10	0	11	41
Kiwoom	0	0	0	-	0	0	10	10	0	10	30
KT	10	10	10	9	-	11	12	10	6	10	88
LG	10	0	8	8	0	-	10	11	0	10	57
Lotte	0	0	0	0	0	0	-	9	0	7	16
NC	12	0	0	0	0	0	0	-	0	11	23
Samsung	9	10	11	10	5	11	11	10	-	11	88
SSG	0	0	0	0	0	0	0	0	0	-	0
-----------------------------------------------------------------------------------
Losses	41	27	49	59	5	32	75	71	6	90

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

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	13	14	2	2	14	3	3	13	72
Hanwha	5	-	12	15	2	13	14	13	1	14	89
KIA	3	4	-	16	1	2	14	12	3	14	69
Kiwoom	2	1	0	-	2	2	12	14	3	14	50
KT	14	14	15	13	-	15	14	14	7	12	118
LG	14	3	12	12	1	-	14	15	2	15	88
Lotte	2	2	1	4	2	2	-	11	3	10	37
NC	13	3	4	2	2	1	5	-	0	13	43
Samsung	12	15	13	13	9	14	13	16	-	13	118
SSG	3	2	2	2	4	1	3	2	3	-	22
-----------------------------------------------------------------------------------
Losses	68	52	72	91	25	52	103	100	25	118

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