Prime p₀= 2907097160859477011 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 16 2 40 2 34

SPT(16)	2907095540543765323	0 4 48 78 96 106 148 154 180 186 228 238 256 286 330 334	-1620315711688
TPT(14)	2907095802677194421	0 2 60 62 138 140 210 212 228 230 276 278 366 368	-1358182282590
STPT(10)	2907096203791880171	0 2 36 38 78 80 120 122 156 158	-957067596840
SPT(16)	2907096227537799379	0 12 84 130 144 148 228 244 348 364 444 448 462 508 580 592	-933321677632
STPT(10)	2907096649410319307	0 2 30 32 42 44 54 56 84 86	-511449157704
STPT(10)	2907097028632353377	0 2 60 62 72 74 84 86 144 146	-132227123634
SPT(16)	2907097440202096327	0 106 114 130 180 270 310 322 384 396 436 526 576 592 600 706	279342619316
STPT(10)	2907097513444312547	0 2 60 62 72 74 84 86 144 146	352584835536
SPT(16)	2907097708423317679	0 34 64 78 100 114 144 238 330 424 454 468 490 504 534 568	547563840668
SPT(16)	2907097856670990989	0 18 24 42 80 110 140 174 248 282 312 342 380 398 404 422	695811513978
SPT(16)	2907097955911762031	0 38 66 96 110 126 150 158 180 188 212 228 242 272 300 338	795052285020