Prime p₀= 2813257262671083257 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)	2813256156183284237	0 24 54 56 66 90 126 140 156 170 206 230 240 242 272 296	-1106487799020
STPT(10)	2813256215813774849	0 2 18 20 30 32 42 44 60 62	-1046857308408
SPT(16)	2813256219551978491	0 30 90 120 132 148 162 172 198 208 222 238 250 280 340 370	-1043119104766
SPT(16)	2813256957408035251	0 46 102 130 166 180 252 256 276 280 352 366 402 430 486 532	-305263048006
SPT(16)	2813257031610173999	0 8 14 30 92 104 132 144 158 170 198 210 272 288 294 302	-231060909258
SPT(16)	2813257229009375861	0 12 18 32 108 126 150 152 186 188 212 230 306 320 326 338	-33661707396
STPT(10)	2813257394922670019	0 2 18 20 60 62 102 104 120 122	132251586762
SPT(16)	2813257452152101303	0 6 10 46 60 76 96 100 126 130 150 166 180 216 220 226	189481018046
SPT(16)	2813257551789951173	0 20 24 36 48 50 74 78 146 150 174 176 188 200 204 224	289118867916
TPT(14)	2813257994441960309	0 2 12 14 30 32 102 104 168 170 180 182 210 212	731770877052
SPT(16)	2813258133512680801	0 72 76 82 90 148 150 166 192 208 210 268 276 282 286 358	870841597544