Prime p₀= 2382087456920791589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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=81, k=10, 2 10 2 16 2

SPT(16)	2382086326669236983	0 20 26 96 104 108 116 138 146 168 176 180 188 258 264 284	-1130251554606
STPT(10)	2382086527748394767	0 2 24 26 42 44 60 62 84 86	-929172396822
SPT(16)	2382086534992900837	0 54 90 114 132 156 352 366 370 384 580 604 622 646 682 736	-921927890752
SPT(16)	2382086559102480463	0 16 78 100 126 136 168 228 238 298 330 340 366 388 450 466	-897818311126
STPT(10)	2382086695673103311	0 2 6 8 48 50 90 92 96 98	-761247688278
SPT(16)	2382087413575201537	0 24 36 72 90 102 142 156 190 204 244 256 274 310 322 346	-43345590052
SPT(16)	2382087714760556629	0 4 10 12 22 24 54 78 154 178 208 210 220 222 228 232	257839765040
STPT(10)	2382088110606368069	0 2 42 44 90 92 138 140 180 182	653685576480
STPT(12)	2382088242987740477	0 2 12 14 84 86 150 152 222 224 234 236	786066948888
SPT(16)	2382088555317632669	0 30 32 60 62 84 98 114 128 144 158 180 182 210 212 242	1098396841080
SPT(16)	2382089624053961477	0 12 24 42 54 60 134 144 182 192 266 272 284 302 314 326	2167133169888