Prime p₀= 1041317852311083209 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 58 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 90 92 102 104 120 122
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: 122
Found by: aendgraend
db: batch=76, k=12, 2 16 2 10 2 58

STPT(10)	1041316037146009319	0 2 30 32 60 62 90 92 120 122	-1815165073890
SPT(16)	1041316100402335399	0 90 130 132 144 168 204 252 280 328 364 388 400 402 442 532	-1751908747810
STPT(10)	1041316108891671791	0 2 6 8 48 50 90 92 96 98	-1743419411418
SPT(16)	1041316934689056967	0 22 120 130 174 184 216 256 270 310 342 352 396 406 504 526	-917622026242
SPT(16)	1041317240130291347	0 14 20 60 62 110 126 144 152 170 186 234 236 276 282 296	-612180791862
STPT(10)	1041317305934756309	0 2 18 20 30 32 42 44 60 62	-546376326900
STPT(10)	1041318112202045441	0 2 30 32 78 80 126 128 156 158	259890962232
STPT(10)	1041318179641520507	0 2 24 26 42 44 60 62 84 86	327330437298
STPT(10)	1041318224359924331	0 2 6 8 18 20 30 32 36 38	372048841122
SPT(16)	1041318262921900081	0 16 28 42 52 72 88 108 130 150 166 186 196 210 222 238	410610816872
SPT(16)	1041318405853951469	0 18 38 102 104 110 140 192 230 282 312 318 320 384 404 422	553542868260