Intente esto, no estoy 100% seguro de que la sintaxis sea correcta, pero está cerca.
select
*
from
(select
CON,
OWNER,
METHOD,
MATRIX,
RESULT,
COUNT,
RANK() OVER(PARTITION BY CON, OWNER, METHOD,MATRIX ORDER BY RESULT,COUNT DESC) as rnk
FROM #TempTable
) a
WHERE rnk = 1