Prime p₀= 2679664396878795419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2679662744486826913	0 34 40 66 78 90 94 118 126 150 154 166 178 204 210 244	-1652391968506
SPT(16)	2679662848225996609	0 28 30 70 88 124 144 148 204 208 228 264 282 322 324 352	-1548652798810
SPT(16)	2679663018860621107	0 12 34 90 142 184 282 294 352 364 462 504 556 612 634 646	-1378018174312
STPT(10)	2679663199604846051	0 2 36 38 78 80 120 122 156 158	-1197273949368
SPT(16)	2679663354260471641	0 60 82 108 168 178 192 210 238 256 270 280 340 366 388 448	-1042618323778
SPT(18)	2679663898187250943	0 24 34 96 154 166 204 216 244 336 364 376 414 426 484 546 556 580	-498691544476
SPT(16)	2679664453259839301	0 20 26 72 120 156 182 230 252 300 326 362 410 456 462 482	56381043882
TPT(14)	2679665197357465409	0 2 30 32 42 44 78 80 198 200 252 254 318 320	800478669990
SPT(16)	2679665495661047939	0 42 44 48 90 170 192 272 300 380 402 482 524 528 530 572	1098782252520
STPT(10)	2679665575254101261	0 2 36 38 78 80 120 122 156 158	1178375305842
SPT(16)	2679665590380451447	0 12 36 46 54 84 106 120 136 150 172 202 210 220 244 256	1193501656028