Prime p₀= 2152436612850559559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2152435091430025477	0 22 40 66 70 82 102 126 130 154 174 186 190 216 234 256	-1521420534082
STPT(10)	2152435175580545927	0 2 30 32 42 44 54 56 84 86	-1437270013632
SPT(16)	2152435579414620583	0 28 66 88 94 166 168 186 208 226 228 300 306 328 366 394	-1033435938976
SPT(16)	2152436401456764667	0 34 54 114 136 142 150 210 226 286 294 300 322 382 402 436	-211393794892
SPT(16)	2152436409035423551	0 6 28 52 120 132 160 192 256 288 316 328 396 420 442 448	-203815136008
SPT(16)	2152436591346311357	0 26 36 44 50 114 120 126 140 146 152 216 222 230 240 266	-21504248202
SPT(16)	2152437299494433309	0 14 42 80 144 182 218 224 228 234 270 308 372 410 438 452	686643873750
STPT(10)	2152437344008739111	0 2 36 38 78 80 120 122 156 158	731158179552
SPT(16)	2152437438399437863	0 18 36 66 100 120 168 190 234 256 304 324 358 388 406 424	825548878304
SPT(16)	2152437501060550909	0 18 34 72 88 100 102 130 132 160 162 174 190 228 244 262	888209991350
SPT(24)	2152437533202086881	0 48 60 78 88 100 102 132 156 168 202 238 330 366 400 412 436 466 468 480 490 508 520 568	920351527322