Prime p₀= 2350395809201421809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Xenon
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2350394901676764751	0 12 42 76 78 90 118 120 208 210 238 250 252 286 316 328	-907524657058
STPT(10)	2350394933813360207	0 2 54 56 72 74 90 92 144 146	-875388061602
TPT(14)	2350394958802263341	0 2 48 50 150 152 216 218 276 278 300 302 336 338	-850399158468
STPT(10)	2350395154621809857	0 2 42 44 72 74 102 104 144 146	-654579611952
TPT(14)	2350395330583700549	0 2 30 32 42 44 210 212 270 272 288 290 378 380	-478617721260
STPT(10)	2350395745288167947	0 2 30 32 42 44 54 56 84 86	-63913253862
SPT(16)	2350396144976758057	0 12 22 40 70 90 102 114 130 142 154 174 204 222 232 244	335775336248
STPT(10)	2350396303148144087	0 2 12 14 72 74 132 134 144 146	493946722278
STPT(10)	2350396405487910539	0 2 48 50 90 92 132 134 180 182	596286488730
SPT(16)	2350396532030444477	0 6 20 42 56 74 116 132 164 180 222 240 254 276 290 296	722829022668
SPT(16)	2350396576494171571	0 6 88 156 186 328 346 352 396 402 420 562 592 660 742 748	767292749762