Prime p₀= 2670884138684782817 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: suriv
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2670883184009947927	0 10 12 54 102 142 160 180 256 276 294 334 382 424 426 436	-954674834890
STPT(10)	2670883342868104097	0 2 30 32 42 44 54 56 84 86	-795816678720
STPT(10)	2670883453869303821	0 2 36 38 78 80 120 122 156 158	-684815478996
SPT(16)	2670883541179029377	0 12 14 26 54 80 134 152 204 222 276 302 330 342 344 356	-597505753440
SPT(16)	2670883573006773373	0 28 30 34 54 60 100 106 138 144 184 190 210 214 216 244	-565678009444
SPT(16)	2670884035834450547	0 12 14 26 42 74 122 152 264 294 342 374 390 402 404 416	-102850332270
TPT(14)	2670884403737912729	0 2 42 44 48 50 78 80 90 92 120 122 168 170	265053129912
TPT(14)	2670884435795602391	0 2 78 80 210 212 390 392 408 410 450 452 516 518	297110819574
STPT(10)	2670884503060229681	0 2 36 38 78 80 120 122 156 158	364375446864
STPT(10)	2670884661519675611	0 2 36 38 108 110 180 182 216 218	522834892794
SPT(16)	2670885454464984817	0 12 30 36 42 46 76 120 166 210 240 244 250 256 274 286	1315780202000