Prime p₀= 767925349465582727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG]steini
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	767924699635803779	0 54 68 104 110 144 212 300 332 420 488 522 528 564 578 632	-649829778948
SPT(16)	767924812016288389	0 24 30 42 72 78 108 130 162 184 214 220 250 262 268 292	-537449294338
STPT(10)	767924933915290139	0 2 18 20 30 32 42 44 60 62	-415550292588
SPT(16)	767924960501164877	0 32 42 90 110 120 242 264 272 294 416 426 446 494 504 536	-388964417850
STPT(10)	767925071898593417	0 2 30 32 42 44 54 56 84 86	-277566989310
SPT(16)	767925078681963733	0 4 16 70 100 136 178 216 238 276 318 354 384 438 450 454	-270783618994
TPT(14)	767925467569538051	0 2 90 92 138 140 180 182 210 212 228 230 336 338	118103955324
SPT(16)	767926169662782017	0 6 12 20 62 96 116 132 200 216 236 270 312 320 326 332	820197199290
SPT(16)	767926964429412847	0 34 76 82 156 196 244 274 342 372 420 460 534 540 582 616	1614963830120
STPT(10)	767927116560590417	0 2 12 14 72 74 132 134 144 146	1767095007690
SPT(18)	767927814251116447	0 10 12 22 60 64 66 76 112 144 180 190 192 196 234 244 246 256	2464785533720