Table:
text: List of schools in the Taranaki Region
South Taranaki District
South Taranaki District
Name_ Years Area Authority Decile Roll
Auroa School 1–8 Auroa State 8 170
Eltham School 1–8 Eltham State 3 172
Hawera Christian School 1–8 Hawera State integrated 6 33
Hawera High School 9–15 Hawera State 5 757
Hawera Intermediate 7–8 Hawera State 5 334
Hawera Primary School 1–6 Hawera State 4 215
Hurleyville School 1–6 Hurleyville State 4 17
Kakaramea School 1–6 Kakaramea State 5 62
Kaponga School 1–8 Kaponga State 4 114
Manaia School 1–8 Manaia State 4 126
Matapu School 1–8 Matapu State 7 112
Mokoia School 1–6 Mokoia State 7 19
Ngamatapouri School 1–8 Ngamatapouri State 9 13

text: List of schools in the Taranaki Region
South Taranaki District
South Taranaki District
Name_ Years Area Authority Decile Roll
Normanby School 1–6 Normanby State 4 157
Opunake High School 9–15 Opunake State 4 305
Opunake School 1–8 Opunake State 4 195
Patea Area School 1–15 Patea State 1 146
Rahotu School 1–8 Rahotu State 6 131
Ramanui School 1–6 Hawera State 2 55
Rawhitiroa School 1–8 Rawhitiroa State 6 35
St Joseph`s School (Hawera) 1–8 Hawera State integrated 6 291
St Joseph`s School (Opunake) 1–8 Opunake State integrated 6 129
St Joseph`s School (Patea) 1–6 Patea State integrated 1 22
St Patrick`s School 1–8 Kaponga State integrated 5 30
Tawhiti School 1–6 Hawera State 4 258

Question: Which authority has a decile greater than 5, with a roll of 170, among the list of schools in South Taranaki District of Taranaki Region?