Prime p₀= 2814539515562675897 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 76

STPT(10)	2814538174126244471	0 2 6 8 48 50 90 92 96 98	-1341436431426
STPT(12)	2814538586487283259	0 2 30 32 42 44 270 272 282 284 312 314	-929075392638
SPT(16)	2814538677976419521	0 8 30 36 56 96 110 128 168 186 200 240 260 266 288 296	-837586256376
STPT(10)	2814538693881761837	0 2 12 14 42 44 72 74 84 86	-821680914060
STPT(10)	2814539044158423077	0 2 60 62 72 74 84 86 144 146	-471404252820
STPT(10)	2814539159048759027	0 2 30 32 72 74 114 116 144 146	-356513916870
STPT(10)	2814539576444228819	0 2 18 20 30 32 42 44 60 62	60881552922
STPT(10)	2814539815550796029	0 2 12 14 90 92 168 170 180 182	299988120132
SPT(16)	2814540246128949889	0 24 40 42 52 90 102 118 144 160 172 210 220 222 238 262	730566273992
SPT(16)	2814540338025955933	0 4 10 36 70 94 106 108 196 198 210 234 268 294 300 304	822463280036
SPT(16)	2814540443127001559	0 24 42 48 50 84 92 120 122 150 158 192 194 200 218 242	927564325662