Prime p₀= 2308856456018367527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2308854002424714539	0 2 18 20 240 242 312 314 390 392 432 434 462 464	-2453593652988
SPT(16)	2308854959873887267	0 6 16 30 90 120 156 160 282 286 322 352 412 426 436 442	-1496144480260
SPT(16)	2308855333788572909	0 48 72 104 134 168 182 200 282 300 314 348 378 410 434 482	-1122229794618
SPT(16)	2308855691850496037	0 2 20 30 56 60 86 90 152 156 182 186 212 222 240 242	-764167871490
SPT(16)	2308855916337448759	0 40 52 58 72 94 114 144 178 208 228 250 264 270 282 322	-539680918768
TPT(16)	2308855921812737357	0 2 90 92 102 104 144 146 240 242 294 296 324 326 420 422	-534205630170
SPT(16)	2308856725966370249	0 38 42 48 80 134 182 234 248 300 348 402 434 440 444 482	269948002722
SPT(16)	2308856746167791299	0 12 22 60 72 90 100 162 208 270 280 298 310 348 358 370	290149423772
STPT(10)	2308857720424694861	0 2 36 38 78 80 120 122 156 158	1264406327334
SPT(16)	2308857753101302699	0 18 108 130 150 238 358 402 448 492 612 700 720 742 832 850	1297082935172
STPT(10)	2308858015696198277	0 2 54 56 132 134 210 212 264 266	1559677830750