Prime p₀= 2326810984509289247 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=12, 2 10 2 40 2 34

SPT(16)	2326809862744183673	0 8 26 98 110 126 128 164 180 216 218 234 246 318 336 344	-1121765105574
SPT(16)	2326809916597220309	0 2 12 30 38 72 98 128 192 222 248 282 290 308 318 320	-1067912068938
SPT(16)	2326810249450851251	0 20 66 90 126 140 162 170 252 260 282 296 332 356 402 422	-735058437996
TPT(14)	2326810393294545227	0 2 12 14 144 146 180 182 234 236 240 242 354 356	-591214744020
TPT(14)	2326810610117340329	0 2 12 14 108 110 180 182 210 212 288 290 300 302	-374391948918
SPT(16)	2326810779573264137	0 6 26 30 44 126 132 140 156 164 170 252 266 270 290 296	-204936025110
STPT(10)	2326811333157470021	0 2 36 38 78 80 120 122 156 158	348648180774
SPT(16)	2326811544391896017	0 24 60 80 102 150 152 170 264 282 284 332 354 374 410 434	559882606770
STPT(10)	2326811749659091109	0 2 18 20 30 32 42 44 60 62	765149801862
SPT(16)	2326812193972024243	0 34 58 106 148 220 228 238 276 286 294 366 408 456 480 514	1209462734996
TPT(14)	2326812229313666177	0 2 42 44 72 74 150 152 210 212 270 272 282 284	1244804376930