Prime p₀= 2956813620199375007 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2956811400701126083	0 48 126 180 246 280 294 304 390 400 414 448 514 568 646 694	-2219498248924
STPT(10)	2956811806513829777	0 2 60 62 102 104 144 146 204 206	-1813685545230
SPT(16)	2956811953646743981	0 12 22 42 132 220 232 246 292 306 318 406 496 516 526 538	-1666552631026
TPT(14)	2956812688787667131	0 2 78 80 198 200 288 290 300 302 336 338 378 380	-931411707876
SPT(16)	2956813054520165459	0 14 38 54 68 80 114 134 168 188 222 234 248 264 288 302	-565679209548
SPT(16)	2956813427037013351	0 12 22 70 112 162 166 196 246 276 280 330 372 420 430 442	-193162361656
SPT(16)	2956813648095759997	0 10 42 76 94 124 142 174 262 294 312 342 360 394 426 436	27896384990
SPT(16)	2956813655967539297	0 2 14 20 24 44 72 144 152 224 252 272 276 282 294 296	35768164290
SPT(16)	2956813844894531561	0 36 42 60 90 102 128 140 318 330 356 368 398 416 422 458	224695156554
SPT(16)	2956813887634600757	0 36 66 74 92 96 140 150 236 246 290 294 312 320 350 386	267435225750
SPT(16)	2956813953315735131	0 2 36 56 90 92 132 150 152 170 210 212 246 266 300 302	333116360124