Hexagonal Neighbors: n=3
Next (n=4)
Maximum score:  39  Minimum penalty:  3

1=Black 2=Green 3=Blue 4=Purple 5-7=White
Orange=Multiple Support  Red=Equal Neighbors
Penalty edges by level (low cell value): 1:2 2:1 
Penalty edges by edge distance: 3:3
  4 3 2
 2 1 4 1
4 3 6 5 2
 1 2 7 3
  3 4 1