Prime p₀= 2681442596119014449 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: JayPi
db: batch=82, k=12, 2 10 2 58 2 4

TPT(14)	2681440604591434109	0 2 30 32 48 50 72 74 132 134 138 140 180 182	-1991527580340
STPT(10)	2681441145824847347	0 2 30 32 42 44 54 56 84 86	-1450294167102
SPT(16)	2681441477244261187	0 36 52 84 96 124 136 162 184 210 222 250 262 294 310 346	-1118874753262
STPT(10)	2681442159365320361	0 2 6 8 48 50 90 92 96 98	-436753694088
STPT(10)	2681442280586786147	0 2 54 56 72 74 90 92 144 146	-315532228302
SPT(16)	2681442485568846521	0 8 36 48 56 78 90 158 228 296 308 330 338 350 378 386	-110550167928
SPT(16)	2681442712500483523	0 4 18 28 30 54 124 186 268 330 400 424 426 436 450 454	116381469074
SPT(16)	2681442746464712933	0 20 30 44 96 126 138 140 294 296 308 338 390 404 414 434	150345698484
STPT(12)	2681443142741128037	0 2 42 44 54 56 60 62 72 74 114 116	546622113588
SPT(16)	2681443506312107351	0 12 20 50 72 90 92 140 210 258 260 278 300 330 338 350	910193092902
SPT(16)	2681443516024281431	0 8 12 42 66 68 90 92 306 308 330 332 356 386 390 398	919905266982