Prime p₀= 2123353477850420741 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 76 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 168 170 210 212 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=80, k=12, 2 46 2 40 2 76

TPT(14)	2123351659833264167	0 2 114 116 234 236 264 266 390 392 420 422 444 446	-1818017156574
SPT(18)	2123352216757076303	0 8 14 26 48 56 60 176 188 216 228 344 348 356 378 390 396 404	-1261093344438
SPT(16)	2123352769408116461	0 8 36 42 68 96 168 210 218 260 332 360 386 392 420 428	-708442304280
SPT(16)	2123352879172681661	0 18 32 36 72 96 126 138 140 152 182 206 242 246 260 278	-598677739080
TPT(14)	2123353259945899739	0 2 30 32 42 44 60 62 90 92 102 104 132 134	-217904521002
SPT(16)	2123353315306843421	0 2 8 90 110 126 138 146 162 170 182 198 218 300 306 308	-162543577320
STPT(10)	2123353555646125469	0 2 42 44 60 62 78 80 120 122	77795704728
STPT(10)	2123353960866729947	0 2 30 32 72 74 114 116 144 146	483016309206
SPT(16)	2123354118094855369	0 28 34 48 52 78 100 114 118 132 154 180 184 198 204 232	640244434628
STPT(10)	2123354213706116021	0 2 36 38 78 80 120 122 156 158	735855695280
SPT(16)	2123354446521924769	0 4 10 54 84 88 112 130 132 150 174 178 208 252 258 262	968671504028