Prime p₀= 2625904720058852117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2625903898782398197	0 34 40 52 66 82 84 90 166 172 174 190 204 216 222 256	-821276453920
SPT(16)	2625903944613976867	0 24 36 52 64 66 70 166 180 276 280 282 294 310 322 346	-775444875250
SPT(16)	2625904085884920689	0 14 18 50 102 150 168 192 200 224 242 290 342 374 378 392	-634173931428
SPT(16)	2625904357547028577	0 70 82 96 106 126 154 262 264 372 400 420 430 444 456 526	-362511823540
SPT(16)	2625904416223706759	0 14 18 32 72 140 198 204 218 224 282 350 390 404 408 422	-303835145358
TPT(14)	2625904482084826067	0 2 54 56 102 104 144 146 180 182 234 236 240 242	-237974026050
SPT(16)	2625904960526337251	0 56 60 86 110 146 156 158 210 212 222 258 282 308 312 368	240467485134
STPT(10)	2625905113808147909	0 2 12 14 90 92 168 170 180 182	393749295792
SPT(16)	2625905205805585331	0 18 38 102 132 150 158 176 192 210 218 236 266 330 350 368	485746733214
STPT(10)	2625905222757694487	0 2 30 32 42 44 54 56 84 86	502698842370
STPT(10)	2625905509143141521	0 2 6 8 18 20 30 32 36 38	789084289404