Prime p₀= 2308523301719695757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2308522005937068331	0 76 106 132 156 172 286 300 322 336 450 466 490 516 546 622	-1295782627426
SPT(16)	2308522074571215187	0 10 12 24 54 60 72 100 126 154 166 172 202 214 216 226	-1227148480570
TPT(14)	2308522360159361147	0 2 60 62 114 116 240 242 270 272 480 482 492 494	-941560334610
SPT(16)	2308522425217236673	0 34 40 70 78 118 124 168 280 324 330 370 378 408 414 448	-876502459084
STPT(10)	2308523046027607229	0 2 18 20 30 32 42 44 60 62	-255692088528
SPT(16)	2308523167519246631	0 50 78 126 132 188 210 228 230 248 270 326 332 380 408 458	-134200449126
SPT(16)	2308523337464916599	0 14 54 80 84 98 132 140 222 230 264 278 282 308 348 362	35745220842
SPT(16)	2308523587713464279	0 60 98 132 138 152 162 204 278 320 330 344 350 384 422 482	285993768522
SPT(16)	2308523740103804131	0 6 30 58 72 88 102 130 198 226 240 256 270 298 322 328	438384108374
SPT(16)	2308523888217479533	0 6 18 34 76 100 160 186 208 234 294 318 360 376 388 394	586497783776
TPT(14)	2308524064120349291	0 2 30 32 60 62 150 152 168 170 186 188 228 230	762400653534