Prime p₀= 2829567579846730319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2829566594914424357	0 62 132 174 182 192 210 230 276 296 314 324 332 374 444 506	-984932305962
STPT(10)	2829566654993116007	0 2 30 32 72 74 114 116 144 146	-924853614312
STPT(10)	2829566691567120059	0 2 42 44 60 62 78 80 120 122	-888279610260
SPT(16)	2829567248079051107	0 14 36 56 80 90 246 272 294 320 476 486 510 530 552 566	-331767679212
SPT(16)	2829567440832904847	0 50 54 96 110 126 140 194 216 270 284 300 314 356 360 410	-139013825472
SPT(16)	2829567445624201273	0 40 54 70 76 96 138 144 160 166 208 228 234 250 264 304	-134222529046
STPT(10)	2829567858231292229	0 2 18 20 30 32 42 44 60 62	278384561910
SPT(16)	2829567939362880349	0 18 28 40 54 82 102 112 300 310 330 358 372 384 394 412	359516150030
SPT(16)	2829567988098705719	0 20 90 120 132 150 164 222 260 318 332 350 362 392 462 482	408251975400
SPT(16)	2829568229260090979	0 42 48 62 84 108 134 140 162 168 194 218 240 254 260 302	649413360660
SPT(16)	2829568450956699527	0 6 14 54 110 122 140 152 174 186 204 216 272 312 320 326	871109969208