Prime p₀= 2570431997500148627 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: LCB001
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2570431269291170149	0 18 54 60 112 138 154 160 222 228 244 270 322 328 364 382	-728208978478
SPT(16)	2570431334438723683	0 70 76 78 144 174 180 184 270 274 280 310 376 378 384 454	-663061424944
SPT(18)	2570431494554563919	0 24 42 44 80 90 114 132 164 240 272 290 314 324 360 362 380 404	-502945584708
STPT(10)	2570431537849639769	0 2 48 50 90 92 132 134 180 182	-459650508858
SPT(16)	2570431645165069799	0 12 18 32 38 54 114 158 204 248 308 324 330 344 350 362	-352335078828
SPT(16)	2570431974105676279	0 22 30 58 82 88 118 180 190 252 282 288 312 340 348 370	-23394472348
SPT(18)	2570432084790942311	0 8 32 56 78 102 132 156 188 240 272 296 326 350 372 396 420 428	87290793684
STPT(10)	2570432240344126577	0 2 12 14 42 44 72 74 84 86	242843977950
TPT(14)	2570432490196929569	0 2 12 14 30 32 120 122 162 164 168 170 180 182	492696780942
SPT(16)	2570432851729783577	0 20 42 66 84 104 146 164 192 210 252 272 290 314 336 356	854229634950
TPT(14)	2570432876533748867	0 2 12 14 54 56 84 86 102 104 144 146 174 176	879033600240