Prime p₀= 2367343289234024417 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: ChUcK
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2367342846497684893	0 4 54 88 138 168 190 208 216 234 256 286 336 370 420 424	-442736339524
SPT(16)	2367342925970911687	0 22 40 82 126 156 184 186 190 192 220 250 294 336 354 376	-363263112730
STPT(10)	2367342948748152839	0 2 48 50 60 62 72 74 120 122	-340485871578
SPT(16)	2367342953279224507	0 66 82 90 156 160 222 226 420 424 486 490 556 564 580 646	-335954799910
SPT(16)	2367343191666395659	0 12 22 28 30 52 58 72 148 162 168 190 192 198 208 220	-97567628758
SPT(16)	2367343194595171267	0 40 124 150 154 166 172 216 340 384 390 402 406 432 516 556	-94638853150
SPT(16)	2367343338960050621	0 48 78 140 210 228 230 266 330 366 368 386 456 518 548 596	49726026204
STPT(10)	2367343526616696809	0 2 18 20 30 32 42 44 60 62	237382672392
SPT(16)	2367343576706492773	0 4 28 36 130 154 184 186 208 210 240 264 358 366 390 394	287472468356
STPT(12)	2367343726071841199	0 2 42 44 60 62 72 74 90 92 132 134	436837816782
SPT(16)	2367343892346122831	0 72 108 126 186 192 212 240 248 276 296 302 362 380 416 488	603112098414