Prime p₀= 2117004678059845529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 40 2 46 2

SPT(16)	2117003946420515731	0 10 12 18 60 102 112 148 150 186 196 238 280 286 288 298	-731639329798
TPT(14)	2117003994660067001	0 2 60 62 66 68 150 152 168 170 210 212 318 320	-683399778528
STPT(10)	2117004139722717767	0 2 30 32 42 44 54 56 84 86	-538337127762
SPT(16)	2117004292520998063	0 30 40 58 88 184 208 214 264 270 294 390 420 438 448 478	-385538847466
SPT(18)	2117004333909006613	0 18 36 40 60 66 96 136 148 186 198 238 268 274 294 298 316 334	-344150838916
SPT(16)	2117004547720634701	0 16 30 52 108 112 132 156 202 226 246 250 306 328 342 358	-130339210828
SPT(16)	2117004766435546913	0 8 48 98 146 170 176 246 260 330 336 360 408 458 498 506	88375701384
SPT(16)	2117004873257800289	0 14 24 74 78 144 162 170 192 200 218 284 288 338 348 362	195197954760
SPT(16)	2117004979851564421	0 72 82 136 156 192 210 222 376 388 406 442 462 516 526 598	301791718892
SPT(16)	2117005789411589303	0 30 44 90 170 174 204 216 218 230 260 264 344 390 404 434	1111351743774
SPT(16)	2117005956330642341	0 2 30 48 56 116 122 156 242 276 282 342 350 368 396 398	1278270796812