Prime p₀= 2817437319506105687 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)	2817435327846565703	0 50 104 138 144 158 168 180 224 236 246 260 266 300 354 404	-1991659539984
TPT(14)	2817435415769895047	0 2 12 14 72 74 180 182 204 206 240 242 294 296	-1903736210640
SPT(16)	2817435558404828833	0 10 28 36 64 96 118 138 316 336 358 390 418 426 444 454	-1761101276854
SPT(18)	2817435887345917801	0 18 28 40 66 78 106 172 192 376 396 462 490 502 528 540 550 568	-1432160187886
STPT(10)	2817436069779108857	0 2 72 74 102 104 132 134 204 206	-1249726996830
SPT(16)	2817436671542410657	0 4 22 36 70 90 120 132 244 256 286 306 340 354 372 376	-647963695030
STPT(10)	2817437432959094501	0 2 6 8 48 50 90 92 96 98	113452988814
SPT(16)	2817437440534260829	0 52 54 64 90 108 154 178 234 258 304 322 348 358 360 412	121028155142
SPT(16)	2817437803702774943	0 8 66 78 108 194 218 230 294 306 330 416 446 458 516 524	484196669256
SPT(16)	2817438134946625007	0 6 24 60 86 96 132 140 156 164 200 210 236 272 290 296	815440519320
STPT(10)	2817438272994060251	0 2 6 8 48 50 90 92 96 98	953487954564