Prime p₀= 2512711882752429947 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: herby44
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2512710459672983629	0 48 52 160 220 222 258 280 300 322 358 360 420 528 532 580	-1423079446318
TPT(14)	2512710472727754917	0 2 60 62 102 104 204 206 210 212 294 296 324 326	-1410024675030
SPT(16)	2512710625566217931	0 86 116 122 128 158 176 182 186 192 210 240 246 252 282 368	-1257186212016
SPT(16)	2512711140964715849	0 2 30 44 48 144 152 212 240 300 308 404 408 422 450 452	-741787714098
STPT(10)	2512711282484417681	0 2 6 8 18 20 30 32 36 38	-600268012266
STPT(10)	2512711809810204599	0 2 18 20 60 62 102 104 120 122	-72942225348
SPT(16)	2512711915842009253	0 28 88 108 114 144 150 166 198 214 220 250 256 276 336 364	33089579306
SPT(16)	2512712103755165861	0 6 8 42 66 96 126 176 222 272 302 332 356 390 392 398	221002735914
SPT(16)	2512712774258757127	0 24 46 72 94 100 126 142 234 250 276 282 304 330 352 376	891506327180
SPT(16)	2512713098523726061	0 18 22 90 112 120 132 148 150 166 178 186 208 276 280 298	1215771296114
SPT(16)	2512713408935085481	0 6 10 28 66 136 138 168 178 208 210 280 318 336 340 346	1526182655534