Prime p₀= 2276120680534147817 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2276120250657626203	0 54 76 88 90 168 180 186 238 244 256 334 336 348 370 424	-429876521614
STPT(10)	2276120298630654809	0 2 12 14 90 92 168 170 180 182	-381903493008
STPT(10)	2276120405826197699	0 2 18 20 30 32 42 44 60 62	-274707950118
STPT(10)	2276120486513324219	0 2 18 20 30 32 42 44 60 62	-194020823598
SPT(16)	2276120631491172793	0 18 34 46 54 126 160 186 238 264 298 370 378 390 406 424	-49042975024
SPT(16)	2276120639854455857	0 24 86 242 264 284 302 320 336 354 372 392 414 570 632 656	-40679691960
STPT(10)	2276120817941103347	0 2 30 32 42 44 54 56 84 86	137406955530
SPT(16)	2276120951921346253	0 6 34 40 48 58 78 100 174 196 216 226 234 240 268 274	271387198436
STPT(10)	2276120957528237759	0 2 30 32 60 62 90 92 120 122	276994089942
SPT(16)	2276121755759971657	0 4 24 40 76 136 154 214 222 282 300 360 396 412 432 436	1075225823840
SPT(16)	2276121778941583501	0 18 60 66 118 162 186 192 256 262 286 330 382 388 430 448	1098407435684