Prime p₀= 2569529832302915147 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2569528006779602837	0 2 24 62 140 170 182 194 210 222 234 264 342 380 402 404	-1825523312310
SPT(16)	2569528318979601613	0 6 54 58 76 148 154 168 196 210 216 288 306 310 358 364	-1513323313534
STPT(10)	2569528412788518239	0 2 42 44 60 62 78 80 120 122	-1419514396908
SPT(16)	2569529078084699183	0 50 68 74 84 96 138 146 258 266 308 320 330 336 354 404	-754218215964
STPT(10)	2569529671546898609	0 2 48 50 90 92 132 134 180 182	-160756016538
SPT(16)	2569529679946192933	0 36 124 166 184 208 264 378 406 520 576 600 618 660 748 784	-152356722214
SPT(16)	2569530410586584017	0 60 66 70 82 102 132 136 210 214 244 264 276 280 286 346	578283668870
SPT(16)	2569530650839345693	0 16 96 106 148 156 198 258 268 328 370 378 420 430 510 526	818536430546
SPT(16)	2569532030335789087	0 4 10 46 52 60 64 84 112 132 136 144 150 186 192 196	2198032873940
TPT(14)	2569532531547629537	0 2 42 44 162 164 180 182 204 206 222 224 234 236	2699244714390
STPT(10)	2569532559868309961	0 2 30 32 78 80 126 128 156 158	2727565394814