Prime p₀= 869007448916446949 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: Coleslaw
db: batch=73, k=12, 2 16 2 22 2 4

TPT(14)	869006447996674121	0 2 78 80 96 98 120 122 138 140 156 158 168 170	-1000919772828
STPT(10)	869006652120589427	0 2 30 32 42 44 54 56 84 86	-796795857522
SPT(16)	869006891438938853	0 18 54 96 98 110 128 138 326 336 354 366 368 410 446 464	-557477508096
SPT(16)	869006937093984817	0 22 42 64 72 126 144 156 160 172 190 244 252 274 294 316	-511822462132
STPT(10)	869006964062501021	0 2 6 8 18 20 30 32 36 38	-484853945928
SPT(16)	869007111834896611	0 12 30 40 48 52 58 70 78 90 96 100 108 118 136 148	-337081550338
SPT(16)	869007519254741857	0 16 64 100 214 256 286 294 316 324 354 396 510 546 594 610	70338294908
SPT(16)	869007590064736489	0 28 48 58 100 148 178 202 318 342 372 420 462 472 492 520	141148289540
STPT(10)	869007641454733601	0 2 6 8 18 20 30 32 36 38	192538286652
SPT(16)	869007664127352523	0 100 126 148 198 204 210 226 258 274 280 286 336 358 384 484	215210905574
SPT(16)	869008354232540101	0 66 90 136 202 222 250 280 318 348 376 396 462 508 532 598	905316093152