Prime p₀= 1044746623896274529 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 124 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 198 200 228 230 270 272
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: 272
Found by: Skivelitis2
db: batch=76, k=12, 2 40 2 28 2 124

TPT(14)	1044744734533100177	0 2 12 14 54 56 90 92 192 194 222 224 234 236	-1889363174352
SPT(16)	1044744996541558801	0 42 46 82 142 168 180 196 312 328 340 366 426 462 466 508	-1627354715728
STPT(10)	1044745303485007721	0 2 36 38 78 80 120 122 156 158	-1320411266808
SPT(16)	1044745430675371459	0 28 40 100 114 258 294 324 388 418 454 598 612 672 684 712	-1193220903070
SPT(16)	1044745879564344851	0 6 48 56 78 168 176 182 186 192 200 290 312 320 362 368	-744331929678
STPT(10)	1044745991835371867	0 2 30 32 42 44 54 56 84 86	-632060902662
SPT(18)	1044746646284148371	0 2 6 20 32 42 62 68 72 116 120 126 146 156 168 182 186 188	22387873842
SPT(16)	1044746835624916961	0 32 50 108 110 116 132 182 186 236 252 258 260 318 336 368	211728642432
TPT(14)	1044747302894010689	0 2 30 32 42 44 72 74 252 254 288 290 318 320	678997736160
SPT(16)	1044747525515597339	0 30 120 132 198 242 252 254 258 260 270 314 380 392 482 512	901619322810
STPT(10)	1044747799027145021	0 2 6 8 48 50 90 92 96 98	1175130870492