Prime p₀= 2125131355651714349 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=80, k=10, 2 28 2 28 2

SPT(16)	2125130142207255221	0 8 20 30 48 62 98 132 206 240 276 290 308 318 330 338	-1213444459128
SPT(16)	2125130274485200483	0 18 30 54 96 154 190 204 250 264 300 358 400 424 436 454	-1081166513866
SPT(16)	2125130489377001111	0 18 96 126 150 152 206 210 218 222 276 278 302 332 410 428	-866274713238
STPT(10)	2125130679083578259	0 2 30 32 60 62 90 92 120 122	-676568136090
STPT(10)	2125131309901956359	0 2 90 92 150 152 210 212 300 302	-45749757990
SPT(16)	2125131338222407121	0 12 158 176 210 216 222 228 260 266 272 278 312 330 476 488	-17429307228
TPT(14)	2125131937527073619	0 2 60 62 72 74 132 134 138 140 240 242 258 260	581875359270
SPT(16)	2125131994303044941	0 32 36 78 86 140 168 212 216 260 288 342 350 392 396 428	638651330592
SPT(16)	2125132552032339587	0 20 26 30 50 80 86 126 260 300 306 336 356 360 366 386	1196380625238
SPT(16)	2125133015354047009	0 10 22 48 54 78 82 90 112 120 124 148 154 180 192 202	1659702332660
TPT(14)	2125133103322122107	0 2 12 14 54 56 84 86 90 92 132 134 240 242	1747670407758