Prime p₀= 2681443142741128037 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 114 116
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: 116
Found by: JayPi
db: batch=82, k=12, 2 40 2 10 2 4

STPT(10)	2681442159365320361	0 2 6 8 48 50 90 92 96 98	-983375807676
STPT(10)	2681442280586786147	0 2 54 56 72 74 90 92 144 146	-862154341890
SPT(16)	2681442485568846521	0 8 36 48 56 78 90 158 228 296 308 330 338 350 378 386	-657172281516
STPT(12)	2681442596119014449	0 2 12 14 72 74 78 80 138 140 150 152	-546622113588
SPT(16)	2681442712500483523	0 4 18 28 30 54 124 186 268 330 400 424 426 436 450 454	-430240644514
SPT(16)	2681442746464712933	0 20 30 44 96 126 138 140 294 296 308 338 390 404 414 434	-396276415104
SPT(16)	2681443506312107351	0 12 20 50 72 90 92 140 210 258 260 278 300 330 338 350	363570979314
SPT(16)	2681443516024281431	0 8 12 42 66 68 90 92 306 308 330 332 356 386 390 398	373283153394
TPT(14)	2681443634735894867	0 2 42 44 102 104 150 152 180 182 222 224 282 284	491994766830
STPT(10)	2681443677423907577	0 2 24 26 42 44 60 62 84 86	534682779540
SPT(16)	2681443791280281827	0 42 60 74 86 90 126 192 224 290 326 330 342 356 374 416	648539153790