What's the highest score that can be achieved by pegging?
If you scroll down to &quot;Pegging Maximal Score&quot;, they outline how the dealer can peg 30 points.
I found that page from an answer to the question that you linked above... not sure how you missed that!

Added:

Joe O'Brien showed, that dealer can score 30 points (not 26 points as we stated before with a dealer's hand 4,4,4,7, pone's hand 4,8,10,K, and the jack as a starter).
In Joe's example Dealer hand 7,7,4,4 ; Pone hand 7,7,4,4. Sequence of play is as follows:
Pone 7 7 4 4
Dealer 7 7 4 4
Dealer Points 2 13 2 13
Dealer Totals 2 15 17 30
This example of dealer maximal cribbage hands is in the article based on the letter of Joe O'Brien.
Update - Joe O'Brien showed that there is a hand that will give the
pone a total of 24 in pegging. The Pone holding 5 5 4 4, and the
Dealer holding 5 4 4 (na/). The Pone hits both the fifteen and the
thirty-one, picking up a triple at the 15 mark and a pair and four of
a kind on the way to the thirty-one mark. Kyle Graham showed, that
pone can score 22 points (in opposite to other articles, that states
max pone score is 18 points). Pone's hand: A, A, 3, 3; Dealer's hand
A, 3, 3, NA. The sequence of play is A, A, A, 3, 3, 3, 3, NA; Pone
gets 6+2+14 = 22 points. Later our player Kenneth Anderson showed,
that the maximum cribbage scoring for Pone pegging is 23. Pone's hand:
5 (or 6) 4 4 4; Dealer's hand: 5 (or 6) 4 9 9 (9 9 could be any cards
worth 9 or above). Total Pone points: 5+6+12 = 23 . More examples of
pone maximal cribbage hands are in the article based on the letters of
Joe O'Brien, Kyle Graham and Kenneth Anderson.