Prime p₀= 2052791845506189881 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2052791338271981141	0 8 30 32 50 92 102 198 212 308 318 360 378 380 402 410	-507234208740
STPT(10)	2052791576752371977	0 2 30 32 42 44 54 56 84 86	-268753817904
SPT(16)	2052791628241158067	0 172 196 202 336 352 372 406 510 544 564 580 714 720 744 916	-217265031814
TPT(14)	2052791766578709347	0 2 72 74 90 92 144 146 162 164 240 242 300 302	-78927480534
STPT(10)	2052791782930034429	0 2 48 50 90 92 132 134 180 182	-62576155452
SPT(16)	2052791839575781169	0 20 38 60 68 110 140 188 270 318 348 390 398 420 438 458	-5930408712
SPT(16)	2052791933824960501	0 42 52 90 108 112 160 210 298 348 396 400 418 456 466 508	88318770620
STPT(10)	2052792276195747179	0 2 42 44 60 62 78 80 120 122	430689557298
SPT(16)	2052792470210993359	0 58 70 72 114 150 198 228 244 274 322 358 400 402 414 472	624704803478
STPT(10)	2052792537590662337	0 2 30 32 42 44 54 56 84 86	692084472456
STPT(10)	2052792784165149737	0 2 12 14 42 44 72 74 84 86	938658959856