Prime p₀= 2161574848021367687 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2161573915316793319	0 4 58 70 88 132 138 180 202 244 250 294 312 324 378 382	-932704574368
TPT(14)	2161574037971152457	0 2 30 32 42 44 72 74 120 122 204 206 240 242	-810050215230
SPT(16)	2161574157645592843	0 108 138 168 180 220 238 256 300 318 336 376 388 418 448 556	-690375774844
SPT(16)	2161574477767654393	0 10 16 66 78 100 160 190 204 234 294 316 328 378 384 394	-370253713294
SPT(16)	2161574485026171491	0 6 50 56 66 90 150 156 182 188 248 272 282 288 332 338	-362995196196
STPT(10)	2161574757079342019	0 2 18 20 30 32 42 44 60 62	-90942025668
STPT(10)	2161575066595336829	0 2 48 50 90 92 132 134 180 182	218573969142
SPT(16)	2161575205788605671	0 18 22 42 60 70 100 150 190 240 270 280 298 318 322 340	357767237984
STPT(10)	2161575417887647919	0 2 48 50 150 152 252 254 300 302	569866280232
STPT(10)	2161575666412755737	0 2 42 44 72 74 102 104 144 146	818391388050
SPT(16)	2161575746004209837	0 44 66 84 224 236 246 264 392 410 420 432 572 590 612 656	897982842150