Prime p₀= 2766562725049307309 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 64 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 138 140 180 182 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 40 2 64

TPT(14)	2766561708252294011	0 2 36 38 90 92 120 122 138 140 180 182 246 248	-1016797013298
SPT(16)	2766562024387572667	0 36 40 76 90 126 132 156 166 190 196 232 246 282 286 322	-700661734642
SPT(16)	2766562180562512441	0 28 70 72 90 102 126 142 186 202 226 238 256 258 300 328	-544486794868
TPT(14)	2766562448808528479	0 2 30 32 72 74 102 104 132 134 168 170 180 182	-276240778830
TPT(14)	2766562524218336561	0 2 48 50 126 128 186 188 210 212 300 302 366 368	-200830970748
STPT(10)	2766562637233618721	0 2 36 38 78 80 120 122 156 158	-87815688588
SPT(16)	2766563070605663317	0 10 22 24 42 52 60 102 112 154 162 172 190 192 204 214	345556356008
STPT(10)	2766563352368660417	0 2 42 44 72 74 102 104 144 146	627319353108
SPT(16)	2766563651052769111	0 12 18 60 66 76 96 102 196 202 222 232 238 280 286 298	926003461802
STPT(10)	2766564145613009309	0 2 78 80 120 122 162 164 240 242	1420563702000
STPT(10)	2766564195595550261	0 2 6 8 18 20 30 32 36 38	1470546242952