Prime p₀= 2766085073700602879 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 28 2 34

STPT(10)	2766084035468310911	0 2 6 8 48 50 90 92 96 98	-1038232291968
SPT(16)	2766084284157589973	0 14 18 36 44 134 144 224 240 320 330 420 428 446 450 464	-789543012906
STPT(10)	2766084601628499791	0 2 6 8 48 50 90 92 96 98	-472072103088
SPT(16)	2766084773868690427	0 46 54 96 112 114 174 180 256 262 322 324 340 382 390 436	-299831912452
SPT(16)	2766084962247624631	0 12 42 48 82 102 118 120 130 132 148 168 202 208 238 250	-111452978248
STPT(10)	2766085071846114827	0 2 54 56 72 74 90 92 144 146	-1854488052
TPT(14)	2766085105068688229	0 2 30 32 78 80 168 170 180 182 210 212 222 224	31368085350
SPT(16)	2766085535638400827	0 4 54 76 90 150 196 210 220 234 280 340 354 376 426 430	461937797948
SPT(16)	2766085630583727719	0 12 14 68 98 102 120 134 168 182 200 204 234 288 290 302	556883124840
SPT(16)	2766085752218267807	0 14 42 72 84 110 116 146 180 210 216 242 254 284 312 326	678517664928
SPT(16)	2766085778818842343	0 24 36 48 58 100 108 136 138 166 174 216 226 238 250 274	705118239464