Prime p₀= 2167829681394927227 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: JayPi
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2167828601321442457	0 10 16 54 90 126 156 166 210 220 250 286 322 360 366 376	-1080073484770
SPT(16)	2167828689270170639	0 14 38 108 110 140 150 168 170 188 198 228 230 300 324 338	-992124756588
SPT(16)	2167828739673672073	0 60 76 120 148 160 180 216 328 364 384 396 424 468 484 544	-941721255154
STPT(10)	2167829077434467099	0 2 78 80 210 212 342 344 420 422	-603960460128
SPT(16)	2167829135074097549	0 14 20 54 92 218 222 234 248 260 264 390 428 462 468 482	-546320829678
TPT(14)	2167829143528046819	0 2 42 44 120 122 132 134 198 200 228 230 300 302	-537866880408
TPT(14)	2167829804696212229	0 2 72 74 102 104 108 110 138 140 198 200 240 242	123301285002
STPT(10)	2167830028262951159	0 2 42 44 120 122 198 200 240 242	346868023932
STPT(10)	2167830084167161199	0 2 42 44 60 62 78 80 120 122	402772233972
SPT(16)	2167830704442688543	0 30 58 88 90 114 178 238 240 300 364 388 390 420 448 478	1023047761316
TPT(14)	2167830830975906477	0 2 12 14 42 44 54 56 210 212 300 302 402 404	1149580979250