Prime p₀= 2031125255365820459 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)	2031124124569444811	0 2 20 56 90 128 158 180 188 210 240 278 312 348 366 368	-1130796375648
TPT(14)	2031124224071733671	0 2 150 152 156 158 270 272 336 338 366 368 390 392	-1031294086788
STPT(10)	2031124239753835979	0 2 18 20 30 32 42 44 60 62	-1015611984480
SPT(16)	2031124240770424223	0 48 84 90 116 120 156 168 176 188 224 228 254 260 296 344	-1014595396236
STPT(10)	2031124823599331147	0 2 30 32 120 122 210 212 240 242	-431766489312
SPT(16)	2031124890059037767	0 26 56 66 96 134 164 186 200 222 252 290 320 330 360 386	-365306782692
SPT(16)	2031125595146783371	0 18 22 46 90 168 172 202 216 246 250 328 372 396 400 418	339780962912
STPT(10)	2031125923326252419	0 2 18 20 30 32 42 44 60 62	667960431960
STPT(10)	2031126003861631217	0 2 30 32 72 74 114 116 144 146	748495810758
SPT(16)	2031126085973129543	0 54 60 66 128 140 156 168 296 308 324 336 398 404 410 464	830607309084
SPT(16)	2031126237248926297	0 6 36 46 60 72 96 100 186 190 214 226 240 250 280 286	981883105838