Prime p₀= 768026316381055397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: arkiss
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	768024478088165953	0 18 28 30 46 64 90 130 144 184 210 228 244 246 256 274	-1838292889444
SPT(16)	768025589163078683	0 6 8 68 126 138 150 176 348 374 386 398 456 516 518 524	-727217976714
SPT(16)	768025610870486141	0 20 32 56 90 98 108 116 132 140 150 158 192 216 228 248	-705510569256
STPT(12)	768025847793570227	0 2 30 32 42 44 222 224 234 236 264 266	-468587485170
TPT(14)	768026047229607107	0 2 30 32 102 104 144 146 210 212 264 266 270 272	-269151448290
STPT(10)	768026122285292069	0 2 12 14 90 92 168 170 180 182	-194095763328
SPT(16)	768026401490650723	0 4 10 18 94 108 148 178 240 270 310 324 400 408 414 418	85109595326
SPT(16)	768026595813068279	0 62 72 114 128 140 198 252 260 314 372 384 398 440 450 512	279432012882
SPT(16)	768026699965057891	0 30 42 120 130 142 172 246 256 330 360 372 382 460 472 502	383584002494
STPT(10)	768026719589933117	0 2 12 14 42 44 72 74 84 86	403208877720
SPT(16)	768026726536688833	0 18 48 58 60 70 100 126 130 156 186 196 198 208 238 256	410155633436