Prime p₀= 2570411412528407387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2570410325448416741	0 6 50 98 120 138 140 170 306 336 338 356 378 426 470 476	-1087079990646
SPT(16)	2570410503123566549	0 68 78 98 168 180 188 194 378 384 392 404 474 494 504 572	-909404840838
STPT(10)	2570410677534317867	0 2 30 32 42 44 54 56 84 86	-734994089520
STPT(10)	2570410909337852591	0 2 6 8 48 50 90 92 96 98	-503190554796
SPT(16)	2570411221256755477	0 40 66 76 82 84 96 102 124 130 142 144 150 160 186 226	-191271651910
SPT(16)	2570411225956042739	0 2 12 48 50 62 72 102 128 158 168 180 182 218 228 230	-186572364648
SPT(16)	2570411437163071897	0 22 64 132 204 226 244 262 264 282 300 322 394 462 504 526	24634664510
SPT(16)	2570411579445129899	0 20 50 72 90 98 152 168 182 198 252 260 278 300 330 350	166916722512
SPT(16)	2570411615330652263	0 8 18 48 108 126 156 198 218 260 290 308 368 398 408 416	202802244876
SPT(16)	2570411907125807029	0 42 94 102 120 132 178 190 192 204 250 262 280 288 340 382	494597399642
TPT(14)	2570412691060724591	0 2 30 32 90 92 96 98 156 158 180 182 210 212	1278532317204