Prime p₀= 2152437533202086881 starts a Symmetric tuple of 24 consecutive primes (SPT).
d_n: 0 48 12 18 10 12 2 30 24 12 34 36 92 36 34 12 24 30 2 12 10 18 12 48 (?)
a_n: 0 48 60 78 88 100 102 132 156 168 202 238 330 366 400 412 436 466 468 480 490 508 520 568
All 24 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 568
Found by: Xenon
db: batch=81, k=24, 48 12 18 10 12 2 30 24 12 34 36 92

SPT(16)	2152436591346311357	0 26 36 44 50 114 120 126 140 146 152 216 222 230 240 266	-941855775524
STPT(10)	2152436612850559559	0 2 18 20 30 32 42 44 60 62	-920351527322
SPT(16)	2152437299494433309	0 14 42 80 144 182 218 224 228 234 270 308 372 410 438 452	-233707653572
STPT(10)	2152437344008739111	0 2 36 38 78 80 120 122 156 158	-189193347770
SPT(16)	2152437438399437863	0 18 36 66 100 120 168 190 234 256 304 324 358 388 406 424	-94802649018
SPT(16)	2152437501060550909	0 18 34 72 88 100 102 130 132 160 162 174 190 228 244 262	-32141535972
SPT(16)	2152437561873142801	0 10 70 76 78 96 108 126 130 148 160 178 180 186 246 256	28671055920
STPT(10)	2152437651502895291	0 2 66 68 108 110 150 152 216 218	118300808410
SPT(16)	2152437731288752211	0 2 62 66 72 80 132 140 162 170 222 230 236 240 300 302	198086665330
SPT(16)	2152438051490357383	0 48 126 156 180 198 240 258 316 334 376 394 418 448 526 574	518288270502
STPT(10)	2152438311616027049	0 2 18 20 30 32 42 44 60 62	778413940168