Prime p₀= 2750814092570951039 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 4

SPT(16)	2750813409308128979	0 14 38 42 78 110 152 224 258 330 372 404 440 444 468 482	-683262822060
SPT(16)	2750813612198667007	0 4 6 70 72 82 84 100 126 142 144 154 156 220 222 226	-480372284032
SPT(16)	2750813701703686789	0 100 120 132 190 202 234 244 318 328 360 372 430 442 462 562	-390867264250
SPT(16)	2750813721069200329	0 4 58 90 162 168 184 202 240 258 274 280 352 384 438 442	-371501750710
SPT(16)	2750813922564773081	0 42 86 92 120 126 240 260 288 308 422 428 456 462 506 548	-170006177958
STPT(10)	2750813931922806689	0 2 18 20 30 32 42 44 60 62	-160648144350
STPT(10)	2750814254884592621	0 2 6 8 48 50 90 92 96 98	162313641582
STPT(10)	2750814388384514897	0 2 30 32 42 44 54 56 84 86	295813563858
STPT(10)	2750814643431050387	0 2 90 92 102 104 114 116 204 206	550860099348
SPT(16)	2750814674250608543	0 30 36 54 68 120 128 156 158 186 194 246 260 278 284 314	581679657504
SPT(16)	2750814894276092389	0 30 58 84 88 120 130 160 198 228 238 270 274 300 328 358	801705141350