Prime p₀= 727902012776111189 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
All 12 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: Theadalus
db: batch=73, k=12, 2 16 2 22 2 34

SPT(16)	727900851033017183	0 8 26 78 134 158 168 200 264 296 306 330 386 438 456 464	-1161743094006
SPT(16)	727900882379924509	0 60 64 84 88 112 138 180 232 274 300 324 328 348 352 412	-1130396186680
SPT(20)	727901167612259177	0 12 20 50 62 66 92 104 132 174 182 224 252 264 290 294 306 336 344 356	-845163852012
SPT(18)	727901213176366753	0 40 88 108 144 166 168 184 196 198 210 226 228 250 286 306 354 394	-799599744436
SPT(16)	727901273923028431	0 28 72 90 102 130 156 160 168 172 198 226 238 256 300 328	-738853082758
SPT(16)	727901976783799277	0 32 42 66 102 144 252 264 272 284 392 434 470 494 504 536	-35992311912
TPT(14)	727902012776111189	0 2 18 20 42 44 78 80 102 104 120 122 162 164	0
STPT(10)	727902132061197407	0 2 30 32 42 44 54 56 84 86	119285086218
STPT(10)	727902141416716727	0 2 24 26 42 44 60 62 84 86	128640605538
SPT(16)	727902562588552699	0 12 64 78 90 108 138 154 228 244 274 292 304 318 370 382	549812441510
STPT(10)	727902859126117247	0 2 42 44 72 74 102 104 144 146	846350006058