Prime p₀= 2778170471817712247 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=12, 2 40 2 40 2 4

SPT(16)	2778167681406325361	0 30 98 102 110 140 168 182 186 200 228 258 266 270 338 368	-2790411386886
TPT(14)	2778168206041931699	0 2 42 44 78 80 150 152 162 164 258 260 330 332	-2265775780548
SPT(16)	2778169065128399443	0 48 64 76 90 100 106 120 124 138 144 154 168 180 196 244	-1406689312804
STPT(10)	2778169560034482797	0 2 30 32 42 44 54 56 84 86	-911783229450
SPT(16)	2778169715027461679	0 14 38 80 114 182 192 194 198 200 210 278 312 354 378 392	-756790250568
TPT(14)	2778169775327633879	0 2 12 14 108 110 132 134 150 152 162 164 192 194	-696490078368
SPT(16)	2778170884824161051	0 18 42 78 102 162 168 170 198 200 206 266 290 326 350 368	413006448804
SPT(16)	2778171092344315861	0 12 78 88 168 222 240 246 292 298 316 370 450 460 526 538	620526603614
SPT(16)	2778171222626614657	0 6 10 34 72 82 124 154 162 192 234 244 282 306 310 316	750808902410
STPT(10)	2778171378061689947	0 2 30 32 42 44 54 56 84 86	906243977700
STPT(10)	2778171384075486197	0 2 30 32 42 44 54 56 84 86	912257773950