Prime p₀= 2625882675052164347 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2625881921363877329	0 20 30 44 90 150 152 192 230 270 272 332 378 392 402 422	-753688287018
TPT(14)	2625882063467424449	0 2 78 80 210 212 288 290 372 374 408 410 510 512	-611584739898
SPT(16)	2625882189902191799	0 8 42 78 90 108 122 134 138 150 164 182 194 230 264 272	-485149972548
SPT(16)	2625882385704699421	0 10 70 76 136 192 210 286 312 388 406 462 522 528 588 598	-289347464926
SPT(18)	2625882387452423569	0 12 18 42 78 82 162 198 204 298 304 340 420 424 460 484 490 502	-287599740778
STPT(10)	2625882536086097831	0 2 6 8 48 50 90 92 96 98	-138966066516
SPT(16)	2625882945516682441	0 10 18 22 66 78 106 142 156 192 220 232 276 280 288 298	270464518094
STPT(10)	2625883133933660717	0 2 54 56 132 134 210 212 264 266	458881496370
SPT(16)	2625883344273075683	0 30 86 96 168 170 200 206 228 234 264 266 338 348 404 434	669220911336
SPT(16)	2625883441334762317	0 34 36 60 64 70 126 144 172 190 246 252 256 280 282 316	766282597970
SPT(16)	2625883533057752743	0 24 48 70 118 144 154 178 276 300 310 336 384 406 430 454	858005588396