Prime p₀= 2338588348760812607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 82 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 174 176 222 224 264 266
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: 266
Found by: Landjunge
db: batch=81, k=12, 2 40 2 46 2 82

STPT(10)	2338587323402825819	0 2 18 20 30 32 42 44 60 62	-1025357986788
SPT(16)	2338587370286358613	0 10 64 88 94 100 108 144 154 190 198 204 210 234 288 298	-978474453994
SPT(16)	2338587415569418067	0 20 36 62 84 96 104 140 186 222 230 242 264 290 306 326	-933191394540
SPT(16)	2338587489325710613	0 58 124 126 138 168 196 198 226 228 256 286 298 300 366 424	-859435101994
TPT(14)	2338587795284265071	0 2 150 152 156 158 420 422 456 458 576 578 600 602	-553476547536
SPT(16)	2338588100435569069	0 40 90 138 162 204 294 300 322 328 418 460 484 532 582 622	-248325243538
STPT(10)	2338588578226004981	0 2 30 32 60 62 90 92 120 122	229465192374
TPT(14)	2338588886003328599	0 2 42 44 90 92 102 104 168 170 198 200 222 224	537242515992
SPT(16)	2338588903072100747	0 12 50 80 90 144 146 162 164 180 182 236 246 276 314 326	554311288140
STPT(12)	2338588920676528307	0 2 12 14 30 32 54 56 72 74 84 86	571915715700
SPT(16)	2338589399769361073	0 66 90 98 114 156 206 210 254 258 308 350 366 374 398 464	1051008548466