Prime p₀= 2319692257074524117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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=81, k=10, 2 28 2 28 2

TPT(14)	2319690725231728991	0 2 6 8 48 50 60 62 126 128 240 242 258 260	-1531842795126
TPT(14)	2319690822372166391	0 2 96 98 348 350 366 368 390 392 408 410 456 458	-1434702357726
SPT(16)	2319691069701801907	0 4 16 40 42 66 72 82 114 124 130 154 156 180 192 196	-1187372722210
SPT(16)	2319691443067799039	0 38 68 98 108 120 194 228 284 318 392 404 414 444 474 512	-814006725078
STPT(10)	2319691770806617301	0 2 6 8 48 50 90 92 96 98	-486267906816
STPT(10)	2319691895041507121	0 2 36 38 78 80 120 122 156 158	-362033016996
SPT(16)	2319692515664264333	0 8 26 38 98 108 140 150 176 186 218 228 288 300 318 326	258589740216
TPT(14)	2319692580171482387	0 2 60 62 180 182 264 266 300 302 342 344 384 386	323096958270
TPT(14)	2319692613290260601	0 2 30 32 150 152 156 158 240 242 306 308 420 422	356215736484
SPT(16)	2319692644771553833	0 18 60 88 126 144 168 174 190 196 220 238 276 304 346 364	387697029716
SPT(16)	2319693022739022191	0 30 62 66 72 86 98 108 140 150 162 176 182 186 218 248	765664498074