Prime p₀= 2334716757453437879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2334714273741356051	0 2 12 18 30 62 90 168 242 320 348 380 392 398 408 410	-2483712081828
SPT(16)	2334714979398648113	0 14 24 36 38 114 126 128 156 158 170 246 248 260 270 284	-1778054789766
SPT(16)	2334715189064163077	0 6 12 20 42 86 116 126 146 156 186 230 252 260 266 272	-1568389274802
TPT(14)	2334715219208248571	0 2 30 32 126 128 156 158 186 188 258 260 270 272	-1538245189308
SPT(16)	2334715528254690187	0 12 24 34 36 52 84 90 166 172 204 220 222 232 244 256	-1229198747692
SPT(16)	2334716581972040171	0 6 12 42 110 126 132 176 252 296 302 318 386 416 422 428	-175481397708
SPT(16)	2334717195726951713	0 6 18 56 86 108 110 116 138 144 146 168 198 236 248 254	438273513834
SPT(16)	2334717244683751867	0 24 34 60 84 150 156 162 184 190 196 262 286 312 322 346	487230313988
STPT(10)	2334717899051085809	0 2 18 20 30 32 42 44 60 62	1141597647930
SPT(16)	2334718333583699669	0 8 60 68 78 90 110 114 158 162 182 194 204 212 264 272	1576130261790
TPT(14)	2334719126906232371	0 2 30 32 90 92 126 128 156 158 180 182 186 188	2369452794492