Prime p₀= 2233745197825912739 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 94 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 138 140 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 28 2 94

STPT(10)	2233744279756684967	0 2 30 32 42 44 54 56 84 86	-918069227772
SPT(16)	2233744402795857109	0 12 58 82 100 222 240 250 270 280 298 420 438 462 508 520	-795030055630
SPT(16)	2233744409923238477	0 2 126 132 146 150 200 224 282 306 356 360 374 380 504 506	-787902674262
STPT(10)	2233744417212271697	0 2 30 32 42 44 54 56 84 86	-780613641042
STPT(10)	2233744652147196449	0 2 18 20 30 32 42 44 60 62	-545678716290
SPT(16)	2233744894130154499	0 22 30 42 48 70 90 112 120 142 162 184 190 202 210 232	-303695758240
TPT(14)	2233745390428007081	0 2 90 92 96 98 150 152 168 170 288 290 348 350	192602094342
STPT(10)	2233745393436366581	0 2 30 32 78 80 126 128 156 158	195610453842
SPT(16)	2233745419980373513	0 36 96 126 184 208 264 298 366 400 456 480 538 568 628 664	222154460774
SPT(16)	2233745511502928681	0 26 66 110 122 140 150 152 186 188 198 216 228 272 312 338	313677015942
SPT(16)	2233745766333676613	0 20 84 90 96 98 116 140 144 168 186 188 194 200 264 284	568507763874