Gonna revise when I have the time, but as it stands (and the order most likely won't change, barring some new entries
):
1. McCullum 302 vs. India 2013/14
2. Coney 111* vs. Pakistan 1984/85
3. Cairns 80 vs. England 1999
4. McCullum 224 vs. India 2013/14
5. Greatbatch 146* vs. Australia 1989/90
6. Fleming 274* vs. Sri Lanka 2003
7. Turner 110* vs. Australia 1974/75
8. Astle 222 vs. England 2001/02
9. Turner 223* vs. West Indies 1971/72
10. McCullum 225 vs. India 2010/11
11. Crowe 299 vs. Sri Lanka 1990/91
12. Crowe 188 vs. West Indies 1984/85