Prime p₀= 2222274024374407061 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: Penguin
db: batch=81, k=12, 2 34 2 10 2 28

SPT(16)	2222272111502185693	0 4 54 60 90 114 124 130 168 174 184 208 238 244 294 298	-1912872221368
SPT(16)	2222272400388248051	0 12 32 50 68 78 110 132 188 210 242 252 270 288 308 320	-1623986159010
SPT(16)	2222272585716308557	0 6 40 106 130 136 154 160 180 186 204 210 234 300 334 340	-1438658098504
TPT(14)	2222273134859669741	0 2 36 38 78 80 168 170 306 308 348 350 378 380	-889514737320
SPT(16)	2222273775277646147	0 2 14 32 56 66 80 102 134 156 170 180 204 222 234 236	-249096760914
STPT(12)	2222273819413133027	0 2 12 14 42 44 150 152 180 182 192 194	-204961274034
STPT(10)	2222274164358696137	0 2 30 32 42 44 54 56 84 86	139984289076
SPT(16)	2222274380808119581	0 6 58 72 76 82 102 126 142 166 186 192 196 210 262 268	356433712520
SPT(16)	2222275590328534709	0 14 44 50 90 128 138 174 218 254 264 302 342 348 378 392	1565954127648
SPT(16)	2222275738181866933	0 10 16 48 126 156 166 168 208 210 220 250 328 360 366 376	1713807459872
SPT(16)	2222275846185260209	0 58 78 88 114 130 144 240 268 364 378 394 420 430 450 508	1821810853148