Prime p₀= 2327369889204011537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2327368886767395797	0 2 42 44 54 56 102 104 132 134 210 212 264 266	-1002436615740
SPT(16)	2327368902915939863	0 8 30 38 44 68 114 200 204 290 336 360 366 374 396 404	-986288071674
STPT(10)	2327368971655150019	0 2 18 20 60 62 102 104 120 122	-917548861518
SPT(16)	2327369286466657997	0 6 36 56 62 90 186 194 252 260 356 384 390 410 440 446	-602737353540
STPT(10)	2327369612896888559	0 2 18 20 30 32 42 44 60 62	-276307122978
SPT(16)	2327369756829113839	0 40 42 64 72 84 100 162 352 414 430 442 450 472 474 514	-132374897698
SPT(16)	2327370287074516969	0 70 90 112 132 160 162 168 172 178 180 208 228 250 270 340	397870505432
SPT(16)	2327370412450956667	0 4 16 46 64 84 130 156 454 480 526 546 564 594 606 610	523246945130
SPT(16)	2327370623652568181	0 2 8 30 50 62 140 156 182 198 276 288 308 330 336 338	734448556644
SPT(16)	2327370983160109219	0 22 28 60 78 114 138 204 208 274 298 334 352 384 390 412	1093956097682
STPT(10)	2327371015252408511	0 2 126 128 138 140 150 152 276 278	1126048396974