Prime p₀= 2115118655138078279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2115117551168283169	0 22 34 70 72 114 118 160 162 204 208 250 252 288 300 322	-1103969795110
TPT(14)	2115117675217945997	0 2 60 62 84 86 144 146 252 254 342 344 354 356	-979920132282
SPT(16)	2115117875270353847	0 12 36 62 66 90 110 134 192 216 236 260 264 290 314 326	-779867724432
TPT(16)	2115118282786535951	0 2 78 80 138 140 156 158 198 200 210 212 348 350 378 380	-372351542328
SPT(16)	2115118356436193533	0 34 84 90 120 130 144 150 298 304 318 328 358 364 414 448	-298701884746
SPT(16)	2115118514063006429	0 84 90 102 110 132 158 162 200 204 230 252 260 272 278 362	-141075071850
TPT(14)	2115118911650234759	0 2 12 14 120 122 162 164 252 254 258 260 318 320	256512156480
STPT(10)	2115119074646340599	0 2 48 50 90 92 132 134 180 182	419508262320
SPT(16)	2115119213609943781	0 42 70 78 88 108 132 148 282 298 322 342 352 360 388 430	558471865502
SPT(16)	2115119275717362637	0 4 6 24 76 100 162 202 354 394 456 480 532 550 552 556	620579284358
SPT(16)	2115119613286686541	0 22 118 138 148 222 238 250 330 342 358 432 442 462 558 580	958148608262