Prime p₀= 2327267273956706927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2327266696683473977	0 40 94 106 120 136 180 222 304 346 390 406 420 432 486 526	-577273232950
SPT(16)	2327266707153712393	0 4 6 10 46 70 76 90 130 144 150 174 210 214 216 220	-566802994534
STPT(10)	2327266784909014967	0 2 12 14 72 74 132 134 144 146	-489047691960
SPT(16)	2327266940630942029	0 4 54 88 100 102 150 174 178 202 250 252 264 298 348 352	-333325764898
TPT(14)	2327267019482500409	0 2 72 74 150 152 270 272 348 350 402 404 420 422	-254474206518
SPT(16)	2327267118679295339	0 2 32 42 78 92 98 114 128 144 150 164 200 210 240 242	-155277411588
STPT(10)	2327267684309889239	0 2 78 80 120 122 162 164 240 242	410353182312
SPT(16)	2327267942231695349	0 14 38 90 194 252 278 318 344 384 410 468 572 624 648 662	668274988422
SPT(16)	2327267980847227157	0 24 80 120 132 176 182 234 452 504 510 554 566 606 662 686	706890520230
STPT(10)	2327268559538961119	0 2 12 14 90 92 168 170 180 182	1285582254192
SPT(16)	2327268639352585261	0 46 60 112 132 190 210 216 286 292 312 370 390 442 456 502	1365395878334