Prime p₀= 2473938466640945957 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 90 92 120 122 162 164
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: 164
Found by: Roadranner
db: batch=82, k=12, 2 40 2 28 2 16

TPT(14)	2473937501620305947	0 2 30 32 42 44 72 74 132 134 204 206 210 212	-965020640010
SPT(16)	2473937678358468929	0 54 62 68 90 122 132 144 308 320 330 362 384 390 398 452	-788282477028
STPT(10)	2473937918380804217	0 2 24 26 42 44 60 62 84 86	-548260141740
STPT(10)	2473937999043111149	0 2 48 50 90 92 132 134 180 182	-467597834808
SPT(16)	2473938067875956581	0 40 48 60 76 106 118 126 160 168 180 210 226 238 246 286	-398764989376
SPT(16)	2473938223656787309	0 10 42 58 78 112 162 174 178 190 240 274 294 310 342 352	-242984158648
SPT(16)	2473938965940070987	0 12 36 42 46 52 54 72 94 112 114 120 124 130 154 166	499299125030
SPT(16)	2473938985027578799	0 22 58 64 82 84 90 108 124 142 148 150 168 174 210 232	518386632842
STPT(10)	2473939285986451889	0 2 48 50 90 92 132 134 180 182	819345505932
TPT(14)	2473939298785854701	0 2 138 140 156 158 300 302 306 308 480 482 510 512	832144908744
SPT(16)	2473940168639065387	0 6 16 22 42 52 60 66 70 76 84 94 114 120 130 136	1701998119430