You are correct to think that (most, but not all) adjectives take the suffix -t in the neuter.
The INDEFINITE neuter form: "A big house" --> "Et stort hus"
However, when the adjective is placed before a noun in the DEFINITE form, the adjective will also be in the definite form, ending in -e.
The definite neuter form, "The big house" --> "Det store huset"
In your example, "Petter´s big house", you would also have to use the definite form, because you are not referring to just "a house", but to a specific house - Petter´s house.
"Petter´s big house" --> "Petters store hus"