DND_Reborn
The High Aldwin
I was surprised to see a 15 (on the Forest Gnome Wizard) as a hypergeometric distribution made that look like a 1-2% chance. I've probably made some errors... the fidelity is good-enough for my purposes! One thing I felt particularly satisfied with is that with luck and focus a character could work towards a 20 stat... but they would have to make trade-offs to get it and I think it would feel genuinely exceptional. I also much prefer where the base range (6-15) falls against MM creatures (e.g. Giant strength scores!)
I get your desire for the range compared to MM creatures, but this system has most character have a sum of -1 to +1 in ability modifiers. I suppose if at session 0 everyone is cool with that, kudos.
Anyway, here is the spreadsheet (attached zip file below). I went with a slightly better array, averaging 11's instead of 10.5. It generates slightly better scores, but not crazy at all.
You can adjust the array to generate better or worse scores. It generates three sets, with scores 14 or 15 highlighted in green and 6 or 7 in red. You can add race modifiers and it calculates total score and modifier based on the set and race.
If you like it but want some changes made and need help, let me know.

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