Prime p₀= 2712643067391242147 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)	2712641087512662701	0 30 36 38 48 90 120 126 212 218 248 290 300 302 308 338	-1979878579446
SPT(16)	2712641713228065259	0 60 78 112 144 180 238 244 258 264 322 358 390 424 442 502	-1354163176888
SPT(16)	2712641892559623883	0 78 118 130 148 288 294 300 358 364 370 510 528 540 580 658	-1174831618264
SPT(16)	2712642101152278863	0 8 18 126 164 170 176 200 204 228 234 240 278 386 396 404	-966238963284
SPT(16)	2712642108240471503	0 6 54 56 84 204 236 248 456 468 500 620 648 650 698 704	-959150770644
SPT(16)	2712643039878679291	0 16 28 90 108 138 198 202 216 220 280 310 328 390 402 418	-27512562856
SPT(16)	2712643700060453911	0 6 36 42 66 72 160 162 196 198 286 292 316 322 352 358	632669211764
STPT(10)	2712643867327433519	0 2 18 20 30 32 42 44 60 62	799936191372
STPT(10)	2712644705527760621	0 2 36 38 78 80 120 122 156 158	1638136518474
STPT(10)	2712644749443393767	0 2 30 32 60 62 90 92 120 122	1682052151620
STPT(10)	2712645103511595137	0 2 12 14 42 44 72 74 84 86	2036120352990