Prime p₀= 2147523221197419431 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)	2147521193562637819	0 24 132 148 252 268 280 322 330 372 384 400 504 520 628 652	-2027634781612
SPT(16)	2147521557343839077	0 20 24 102 120 134 140 150 224 234 240 254 272 350 354 374	-1663853580354
SPT(16)	2147521707195793069	0 4 64 114 138 148 162 172 390 400 414 424 448 498 558 562	-1514001626362
STPT(12)	2147522237808838697	0 2 30 32 72 74 132 134 174 176 204 206	-983388580734
STPT(10)	2147522277268544381	0 2 6 8 18 20 30 32 36 38	-943928875050
SPT(16)	2147522280548477713	0 46 58 88 108 156 166 184 210 228 238 286 306 336 348 394	-940648941718
SPT(16)	2147523294161690681	0 12 20 26 38 66 80 90 98 108 122 150 162 168 176 188	72964271250
STPT(10)	2147523575531959907	0 2 42 44 72 74 102 104 144 146	354334540476
SPT(16)	2147523738548636509	0 24 78 88 90 94 112 174 208 270 288 292 294 304 358 382	517351217078
SPT(16)	2147523965924564273	0 26 48 56 90 96 126 128 198 200 230 236 270 278 300 326	744727144842
TPT(14)	2147524101837900857	0 2 54 56 84 86 264 266 360 362 372 374 504 506	880640481426