Prime p₀= 2052792276195747179 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: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2052791628241158067	0 172 196 202 336 352 372 406 510 544 564 580 714 720 744 916	-647954589112
TPT(14)	2052791766578709347	0 2 72 74 90 92 144 146 162 164 240 242 300 302	-509617037832
STPT(10)	2052791782930034429	0 2 48 50 90 92 132 134 180 182	-493265712750
SPT(16)	2052791839575781169	0 20 38 60 68 110 140 188 270 318 348 390 398 420 438 458	-436619966010
STPT(10)	2052791845506189881	0 2 36 38 78 80 120 122 156 158	-430689557298
SPT(16)	2052791933824960501	0 42 52 90 108 112 160 210 298 348 396 400 418 456 466 508	-342370786678
SPT(16)	2052792470210993359	0 58 70 72 114 150 198 228 244 274 322 358 400 402 414 472	194015246180
STPT(10)	2052792537590662337	0 2 30 32 42 44 54 56 84 86	261394915158
STPT(10)	2052792784165149737	0 2 12 14 42 44 72 74 84 86	507969402558
STPT(10)	2052792789182479439	0 2 18 20 30 32 42 44 60 62	512986732260
SPT(16)	2052792908983248317	0 14 44 54 62 84 86 116 210 240 242 264 272 282 312 326	632787501138