Par-zero deal with many points for N/S
Here's a deal that my double dummy solver says is parzero with North/South holding 24 points.

          S: KT9
          H: AK942
          D: QT97
          C: A
 S: 72             S: AQ864
 H: J87            H: T653
 D: K84            D: AJ6
 C: JT842          C: 7
          S: J53
          H: Q
          D: 532
          C: KQ9653


I haven't analyzed this deal to see how the sides defeat the contracts.

Note that North/South have their share of the tens, and all of the nines, as well. So this is a good 24.

For north/south declaring. the obvious problem is that north and south's hands have few entries.

I've currently got my dealer search for 25-point examples.

Deal is the dealer than I'm using. I wrote it. It has a double dummy solver built-in. This is the script I'm using for Deal:

main { 
   # Require north/south have exactly 25 points and no fit
   reject unless {[hcp south]+[hcp north]==25}
   foreach suit {spades hearts diamonds clubs} {
       reject if {[$suit south]+[$suit north]&gt;7}
   }

   foreach denom {notrump spades hearts diamonds clubs} {
      reject if {[deal::tricks south $denom]&gt;6}
      reject if {[deal::tricks north $denom]&gt;6}
      reject if {[deal::tricks east $denom]&gt;6}
      reject if {[deal::tricks west $denom]&gt;6}
   }
   accept
}