Here is scenario in which KT wins 10 additional games (77 total) but does not finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             KIA	88	52	4	0.6286	0.0
              KT	77	65	2	0.5423	12.0
         Samsung	75	65	4	0.5357	13.0
              LG	72	68	4	0.5143	16.0
          Doosan	70	70	4	0.5000	18.0
              NC	67	73	4	0.4786	21.0
          Hanwha	66	74	4	0.4714	22.0
             SSG	63	77	4	0.4500	25.0
           Lotte	62	76	6	0.4493	25.0
          Kiwoom	60	80	4	0.4286	28.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
             KIA	81	50	2	11	0.618	0.0
         Samsung	75	57	2	10	0.568	6.5
              LG	68	62	2	12	0.523	12.5
              KT	67	65	2	10	0.508	14.5
          Doosan	65	66	2	11	0.496	16.0
             SSG	62	68	2	12	0.477	18.5
           Lotte	59	67	4	14	0.468	19.5
          Hanwha	60	69	2	13	0.465	20.0
              NC	58	71	2	13	0.450	22.0
          Kiwoom	56	76	0	12	0.424	25.5

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	-	0	0	1	0	3	0	0	1	0	5
Hanwha	0	-	0	0	0	1	4	0	0	1	6
KIA	1	1	-	0	0	0	2	0	2	1	7
Kiwoom	0	0	0	-	0	0	0	0	2	2	4
KT	1	0	1	3	-	0	1	0	2	2	10
LG	0	0	0	0	0	-	2	0	1	1	4
Lotte	1	0	0	0	0	0	-	2	0	0	3
NC	0	4	1	0	0	2	0	-	0	2	9
Samsung	0	0	0	0	0	0	0	0	-	0	0
SSG	1	0	0	0	0	0	0	0	0	-	1
-----------------------------------------------------------------------------------
Losses	4	5	2	4	0	6	9	2	8	9

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	0	1	2	0	0	2
Hanwha	0	-	0	1	0	0	1	2	0	0	2
KIA	1	0	-	2	0	0	1	0	0	0	2
Kiwoom	0	1	2	-	0	1	0	0	0	0	4
KT	0	0	0	0	-	0	1	0	1	0	0
LG	0	0	0	1	0	-	1	0	1	1	2
Lotte	1	1	1	0	1	1	-	0	0	0	2
NC	2	2	0	0	0	0	0	-	0	0	2
Samsung	0	0	0	0	1	1	0	0	-	2	2
SSG	0	0	0	0	0	1	0	0	2	-	2
-----------------------------------------------------------------------------------
Total	2	2	2	4	0	2	2	2	2	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	-	6	8	10	11	9	6	10	4	6	70
Hanwha	10	-	4	6	10	8	9	2	6	11	66
KIA	7	12	-	10	8	13	8	11	12	7	88
Kiwoom	6	9	4	-	2	10	8	7	8	6	60
KT	5	6	8	14	-	7	8	10	9	10	77
LG	7	8	3	5	9	-	11	11	7	11	72
Lotte	9	6	7	8	7	4	-	9	6	6	62
NC	4	12	5	9	6	5	7	-	6	13	67
Samsung	12	10	4	8	6	8	10	10	-	7	75
SSG	10	5	9	10	6	4	9	3	7	-	63
-----------------------------------------------------------------------------------
Losses	70	74	52	80	65	68	76	73	65	77

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