Prime p₀= 2427433273658442389 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 10 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 72 74 90 92 132 134
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: 134
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 10

SPT(16)	2427432488038639189	0 28 34 70 114 174 184 208 294 318 328 388 432 468 474 502	-785619803200
SPT(16)	2427432738381272723	0 78 84 156 164 194 206 260 294 348 360 390 398 470 476 554	-535277169666
STPT(10)	2427432824952545489	0 2 48 50 60 62 72 74 120 122	-448705896900
SPT(16)	2427432858071947123	0 10 24 66 90 114 124 126 208 210 220 244 268 310 324 334	-415586495266
STPT(10)	2427433009590293951	0 2 36 38 78 80 120 122 156 158	-264068148438
STPT(10)	2427433024301505917	0 2 30 32 72 74 114 116 144 146	-249356936472
STPT(10)	2427433358219959247	0 2 30 32 72 74 114 116 144 146	84561516858
STPT(10)	2427433662552410999	0 2 48 50 90 92 132 134 180 182	388893968610
STPT(10)	2427433833700398671	0 2 36 38 78 80 120 122 156 158	560041956282
STPT(10)	2427434014370989991	0 2 6 8 48 50 90 92 96 98	740712547602
SPT(16)	2427434270654628889	0 70 78 90 114 132 198 202 240 244 310 328 352 364 372 442	996996186500