Prime p₀= 2767597678879353707 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 16 2 22 2 16 2 70 2 (?)
a_n: 0 2 72 74 90 92 114 116 132 134 204 206
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: 206
Found by: JayPi
db: batch=82, k=12, 2 70 2 16 2 22

SPT(16)	2767597064945600189	0 30 42 74 78 110 150 164 198 212 252 284 288 320 332 362	-613933753518
TPT(14)	2767597185617237201	0 2 18 20 48 50 96 98 126 128 156 158 180 182	-493262116506
SPT(16)	2767597289840650123	0 30 54 76 94 96 156 160 174 178 238 240 258 280 304 334	-389038703584
STPT(10)	2767597295663300921	0 2 6 8 18 20 30 32 36 38	-383216052786
STPT(10)	2767597356531897941	0 2 6 8 18 20 30 32 36 38	-322347455766
SPT(16)	2767597458572614417	0 22 84 120 142 150 154 166 210 222 226 234 256 292 354 376	-220306739290
TPT(14)	2767597887448164929	0 2 12 14 30 32 138 140 198 200 210 212 228 230	208568811222
SPT(16)	2767598702516230579	0 28 90 118 148 162 168 198 244 274 280 294 324 352 414 442	1023636876872
SPT(16)	2767598816452499149	0 28 70 72 102 198 220 240 352 372 394 490 520 522 564 592	1137573145442
STPT(10)	2767598956955661077	0 2 12 14 72 74 132 134 144 146	1278076307370
STPT(10)	2767598988489048737	0 2 72 74 102 104 132 134 204 206	1309609695030