Prime p₀= 2301672621420195299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: FritzB
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2301671448900764761	0 10 42 66 72 90 100 118 210 228 238 256 262 286 318 328	-1172519430538
STPT(10)	2301672074084525039	0 2 18 20 60 62 102 104 120 122	-547335670260
STPT(10)	2301672272584992449	0 2 18 20 30 32 42 44 60 62	-348835202850
SPT(16)	2301672345680875591	0 40 46 88 100 106 156 162 166 172 222 228 240 282 288 328	-275739319708
STPT(12)	2301672517060901447	0 2 12 14 24 26 210 212 222 224 234 236	-104359293852
STPT(10)	2301672525408762557	0 2 30 32 102 104 174 176 204 206	-96011432742
SPT(16)	2301672755795679941	0 2 6 26 86 126 138 188 240 290 302 342 402 422 426 428	134375484642
SPT(16)	2301672850194154691	0 8 18 20 30 78 90 132 158 200 212 260 270 272 282 290	228773959392
SPT(16)	2301672905754411947	0 14 20 60 86 90 170 182 234 246 326 330 356 396 402 416	284334216648
SPT(16)	2301673259642451473	0 36 44 50 80 98 114 158 216 260 276 294 324 330 338 374	638222256174
TPT(14)	2301673399186178669	0 2 42 44 78 80 210 212 240 242 348 350 372 374	777765983370