Prime p₀= 2570410677534317867 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)	2570409194998483229	0 14 18 20 68 84 98 102 140 144 158 174 222 224 228 242	-1482535834638
STPT(10)	2570409667429776017	0 2 24 26 42 44 60 62 84 86	-1010104541850
SPT(16)	2570409921688065641	0 6 8 32 78 86 90 116 132 158 162 170 216 240 242 248	-755846252226
SPT(16)	2570410018830426191	0 48 56 90 96 102 150 168 170 188 236 242 248 282 290 338	-658703891676
SPT(16)	2570410325448416741	0 6 50 98 120 138 140 170 306 336 338 356 378 426 470 476	-352085901126
SPT(16)	2570410503123566549	0 68 78 98 168 180 188 194 378 384 392 404 474 494 504 572	-174410751318
STPT(10)	2570410909337852591	0 2 6 8 48 50 90 92 96 98	231803534724
SPT(16)	2570411221256755477	0 40 66 76 82 84 96 102 124 130 142 144 150 160 186 226	543722437610
SPT(16)	2570411225956042739	0 2 12 48 50 62 72 102 128 158 168 180 182 218 228 230	548421724872
STPT(10)	2570411412528407387	0 2 30 32 60 62 90 92 120 122	734994089520
SPT(16)	2570411437163071897	0 22 64 132 204 226 244 262 264 282 300 322 394 462 504 526	759628754030