Prime p₀= 2166220776884682767 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2166219354306271631	0 2 48 50 78 80 96 98 180 182 210 212 246 248	-1422578411136
STPT(10)	2166219393273898379	0 2 18 20 30 32 42 44 60 62	-1383610784388
SPT(16)	2166219656341301401	0 12 16 46 70 78 168 180 298 310 400 408 432 462 466 478	-1120543381366
SPT(16)	2166220348927415777	0 42 50 54 72 86 120 132 254 266 300 314 332 336 344 386	-427957266990
SPT(16)	2166220584005872601	0 20 30 42 50 56 60 86 102 128 132 138 146 158 168 188	-192878810166
SPT(16)	2166220733947478797	0 4 40 54 66 156 184 196 210 222 250 340 352 366 402 406	-42937203970
STPT(10)	2166221112516518339	0 2 18 20 60 62 102 104 120 122	335631835572
SPT(16)	2166221140473185863	0 34 46 106 124 138 156 160 294 298 316 330 348 408 420 454	363588503096
SPT(16)	2166221538460376879	0 30 44 72 140 174 224 230 252 258 308 342 410 438 452 482	761575694112
STPT(10)	2166221648833476539	0 2 42 44 90 92 138 140 180 182	871948793772
STPT(10)	2166221672268263801	0 2 36 38 78 80 120 122 156 158	895383581034