Prime p₀= 2126715851306449889 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

TPT(16)	2126715041620591991	0 2 6 8 30 32 60 62 186 188 216 218 288 290 438 440	-809685857898
SPT(16)	2126715077877275491	0 16 30 60 78 112 126 130 198 202 216 250 268 298 312 328	-773429174398
SPT(16)	2126715132618645991	0 42 66 132 142 156 160 190 372 402 406 420 430 496 520 562	-718687803898
STPT(10)	2126715383179232381	0 2 6 8 48 50 90 92 96 98	-468127217508
STPT(10)	2126715392779653617	0 2 30 32 42 44 54 56 84 86	-458526796272
SPT(16)	2126715640276093289	0 24 68 78 108 120 150 170 258 278 308 320 350 360 404 428	-211030356600
STPT(10)	2126716401791505617	0 2 30 32 60 62 90 92 120 122	550485055728
STPT(10)	2126716431895153067	0 2 54 56 72 74 90 92 144 146	580588703178
SPT(16)	2126716758965006011	0 30 46 52 66 70 96 160 192 256 282 286 300 306 322 352	907658556122
STPT(10)	2126716771926892391	0 2 120 122 138 140 156 158 276 278	920620442502
SPT(16)	2126716779318548161	0 10 30 82 120 132 138 166 192 220 226 238 276 328 348 358	928012098272