The ODLK25 is a subproject of the BOINC project Symmetric Prime Tuples (SPT)
https://boinc.termit.me/adsl/

The project solves the problem of finding symmetric tuples of consecutive prime numbers,
which cannot be found in the BOINC project SPT due to the search range limitation to 2^64.
In particular, the problem of finding symmetric tuples of length 17
of consecutive prime numbers according to the following pattern

0, 6, 24, 36, 66, 84, 90, 114, 120, 126, 150, 156, 174, 204, 216, 234, 240

The existence of such tuples is a necessary condition for the existence of a symmetric
tuple of length 19 of consecutive prime numbers with a minimum diameter of 252.

Currently, this subproblem is being solved in a non-BOINC project
https://boinc.termit.me/adsl/forum_thread.php?id=79
https://boinc.progger.info/odlk/forum_thread.php?id=293

Basic definitions

Definition 1
A prime k-tuple is a finite collection of values (p + a1, p + a2, p + a3, …, p + ak),
where p, p + a1, p + a2, p + a3, …, p + ak are prime numbers, (a1, a2, a3, …, ak) are pattern. Typically the first value in the pattern is 0 and the rest are distinct positive even numbers. [1]
We consider the k-tuple, where p + a1, p + a2, p + a3, ..., p + ak are consecutive primes.
Definition 2
k-tuple (p + a1, p + a2, p + a3, ..., p + a [k / 2], p + a [k / 2+1], ..., p + a [k-2], p + a [k-1], p + ak) for k even, is called symmetric, if the following condition is satisfied:
a1 + ak = a2 + a[k-1] = a3 + a[k-2] = … = a[k/2] + a[k/2+1]
Example
symmetric 8-tuple
(17 + 0, 17 + 2, 17 + 6, 17 + 12, 17 + 14, 17 + 20, 17 + 24, 17 + 26)
Shortened we write this:
17: 0, 2, 6, 12, 14, 20, 24, 26
Definition 3
k-tuple (p + a1, p + a2, p + a3, ..., p + a [(k-1) / 2], p + a [(k-1) / 2 + 1], p + a [(k-1) / 2 + 2], ..., p + a [k-2], p + a [k-1], p + ak) for k odd called symmetric, if the following condition is satisfied:
a1 + ak = a2 + a[k-1] = a3 +a [k-2] =…= a[(k-1)/2] + a[(k-1)/2+2] = 2 a[(k-1)/2+1]
Example
symmetric 5-tuple
18713: 0, 6, 18, 30, 36
(See in [2])
Definition 4
The diameter d of k-tuple is the difference of its largest and smallest elements. [1]
Example
8-tuple
17: 0, 2, 6, 12, 14, 20, 24, 26
It has a diameter d = 26.

https://www.primepuzzles.net/problems/prob_062.htm

Thank you for this project description. This should be copied to About ODLK2025
I hope it's okay that I copied the information to the BOINC Projects wiki https://boincsynergy.ca/wiki/index.php/ODLK2025
I invite you, and anyone else, to edit the page, and any other page, on the BOINC Projects wiki.

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Why namely that pattern of diameter 240?

The smallest diameter for a 17-tuplet is 66: https://www.pzktupel.de/ktpatt_hl.php
The smallest diameter for a symmetric 17-tuplet should not be much larger than 66.

Why namely that pattern of diameter 240?

These are the most problematic tuples.
In the 10 years of the existence of the project "Symmetric tuples of consecutive prime numbers" only 12 such tuples have been found.

https://dxdy.ru/post1671940.html#p1671940

The smallest diameter for a 17-tuplet is 66: https://www.pzktupel.de/ktpatt_hl.php
The smallest diameter for a symmetric 17-tuplet should not be much larger than 66.

See
Natalia Makarova and Vladimir Chirkov
Theoretical patterns with a minimal diameter for a(2) - a(50)

https://oeis.org/A266512/a266512_1.txt

a(17)
0 6 24 36 66 84 90 114 120 126 150 156 174 204 216 234 240
0 12 18 30 42 72 78 102 120 138 162 168 198 210 222 228 240
0 12 30 42 60 72 78 102 120 138 162 168 180 198 210 228 240

Read also
https://boinc.mak.termit.me/odlk2025/forum_thread.php?id=22