Prime p₀= 2564355331165606997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 102 104 144 146 174 176
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 28 2 40 2 28

STPT(10)	2564353192311992441	0 2 6 8 48 50 90 92 96 98	-2138853614556
STPT(10)	2564353476407729759	0 2 18 20 30 32 42 44 60 62	-1854757877238
TPT(14)	2564353485826878197	0 2 84 86 90 92 102 104 132 134 174 176 180 182	-1845338728800
SPT(16)	2564354493018273391	0 30 46 100 112 142 150 160 168 178 186 216 228 282 298 328	-838147333606
SPT(16)	2564354711096325439	0 10 12 34 42 54 70 78 94 102 118 130 138 160 162 172	-620069281558
STPT(10)	2564355093154455569	0 2 42 44 90 92 138 140 180 182	-238011151428
SPT(16)	2564355573019376809	0 28 54 72 102 112 124 142 150 168 180 190 220 238 264 292	241853769812
STPT(10)	2564355807390763751	0 2 30 32 78 80 126 128 156 158	476225156754
STPT(10)	2564355826126583429	0 2 48 50 90 92 132 134 180 182	494960976432
SPT(16)	2564356285108480399	0 4 12 18 52 64 150 190 192 232 318 330 364 370 378 382	953942873402
SPT(16)	2564356583515054631	0 18 20 56 80 128 140 156 200 216 228 276 300 336 338 356	1252349447634