Prime p₀= 2786039090756629187 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 10 2 16

SPT(16)	2786038611031283891	0 12 20 56 72 122 132 180 182 230 240 290 306 342 350 362	-479725345296
SPT(16)	2786038712918227253	0 26 54 60 90 110 126 128 156 158 174 194 224 230 258 284	-377838401934
SPT(16)	2786038752225806591	0 12 50 90 96 122 126 182 216 272 276 302 308 348 386 398	-338530822596
SPT(16)	2786038768316205161	0 30 62 126 140 152 210 222 260 272 330 342 356 420 452 482	-322440424026
SPT(16)	2786038870083230189	0 32 72 110 128 134 162 168 194 200 228 234 252 290 330 362	-220673398998
STPT(10)	2786038993899537977	0 2 30 32 42 44 54 56 84 86	-96857091210
SPT(16)	2786039306010081031	0 10 22 72 102 106 138 186 232 280 312 316 346 396 408 418	215253451844
SPT(16)	2786039351651507671	0 30 40 42 46 52 100 166 186 252 300 306 310 312 322 352	260894878484
STPT(10)	2786039785934448689	0 2 48 50 60 62 72 74 120 122	695177819502
TPT(14)	2786039853674400809	0 2 48 50 78 80 168 170 252 254 258 260 288 290	762917771622
STPT(10)	2786040365399311841	0 2 6 8 18 20 30 32 36 38	1274642682654