Prime p₀= 3086381180361006089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 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: PhilTheNet
db: batch=83, k=12, 2 16 2 22 2 4

SPT(18)	3086379474900464129	0 2 62 90 114 200 230 260 270 272 282 312 342 428 452 480 540 542	-1705460541960
STPT(10)	3086379625202476199	0 2 42 44 60 62 78 80 120 122	-1555158529890
SPT(16)	3086379873223566541	0 10 18 66 90 100 118 130 156 168 186 196 220 268 276 286	-1307137439548
STPT(10)	3086380354722726029	0 2 12 14 90 92 168 170 180 182	-825638280060
STPT(10)	3086380526108807831	0 2 36 38 78 80 120 122 156 158	-654252198258
SPT(16)	3086381162657680463	0 20 90 98 108 134 156 318 356 518 540 566 576 584 654 674	-17703325626
SPT(18)	3086381374899044119	0 10 28 30 52 72 100 112 118 144 150 162 190 210 232 234 252 262	194538038030
STPT(10)	3086381818637453969	0 2 42 44 90 92 138 140 180 182	638276447880
STPT(10)	3086382012176642747	0 2 12 14 42 44 72 74 84 86	831815636658
STPT(10)	3086382641480672507	0 2 30 32 42 44 54 56 84 86	1461119666418
SPT(16)	3086382652852935971	0 38 156 170 212 222 278 288 350 360 416 426 468 482 600 638	1472491929882