Prime p₀= 2744581521208064387 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 88 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 132 134 150 152 174 176
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: 176
Found by: UBT - Timbo
db: batch=82, k=12, 2 22 2 16 2 88

STPT(10)	2744579445496118771	0 2 30 32 78 80 126 128 156 158	-2075711945616
SPT(16)	2744579585952300359	0 18 42 54 60 74 84 102 110 128 138 152 158 170 194 212	-1935255764028
STPT(10)	2744579985471264401	0 2 66 68 168 170 270 272 336 338	-1535736799986
SPT(16)	2744580437358038423	0 6 20 36 50 60 126 144 170 188 254 264 278 294 308 314	-1083850025964
SPT(16)	2744580728009159887	0 40 60 70 72 136 220 240 262 282 366 430 432 442 462 502	-793198904500
SPT(18)	2744580913841668073	0 54 60 68 78 90 98 104 126 278 300 306 314 326 336 344 350 404	-607366396314
SPT(16)	2744581755055611827	0 12 30 42 44 54 132 180 284 332 410 420 422 434 452 464	233847547440
SPT(16)	2744581981011357647	0 20 26 90 96 102 114 116 180 182 194 200 206 270 276 296	459803293260
STPT(10)	2744582654398129547	0 2 30 32 60 62 90 92 120 122	1133190065160
SPT(16)	2744582892354444833	0 20 86 126 138 156 186 224 240 278 308 326 338 378 444 464	1371146380446
SPT(16)	2744582909349479039	0 2 24 72 80 114 128 164 168 204 218 252 260 308 330 332	1388141414652