Prime p₀= 2322088284192689237 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

TPT(14)	2322086214644833667	0 2 60 62 120 122 174 176 252 254 330 332 354 356	-2069547855570
SPT(16)	2322086324333985359	0 62 98 108 120 128 132 218 252 338 342 350 362 372 408 470	-1959858703878
STPT(12)	2322086422839924449	0 2 18 20 42 44 78 80 102 104 120 122	-1861352764788
TPT(14)	2322087452114396009	0 2 30 32 42 44 138 140 198 200 348 350 390 392	-832078293228
SPT(16)	2322087664471076419	0 4 30 52 64 84 100 102 112 114 130 150 162 184 210 214	-619721612818
SPT(16)	2322087776030260463	0 14 18 24 30 56 144 158 276 290 378 404 410 416 420 434	-508162428774
SPT(16)	2322088427859072137	0 30 42 44 72 74 96 116 150 170 192 194 222 224 236 266	143666382900
STPT(10)	2322088691390434997	0 2 30 32 60 62 90 92 120 122	407197745760
SPT(16)	2322089016026458439	0 50 78 92 98 104 158 164 228 234 288 294 300 314 342 392	731833769202
SPT(16)	2322089490117694721	0 8 78 138 156 168 188 216 260 288 308 320 338 398 468 476	1205925005484
STPT(10)	2322089632966097051	0 2 36 38 78 80 120 122 156 158	1348773407814