Prime p₀= 1016314386514881269 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 10 2 106 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 168 170 180 182 228 230
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: 230
Found by: Theadalus
db: batch=76, k=12, 2 46 2 10 2 106

SPT(16)	1016313097784086559	0 18 32 42 84 122 144 150 242 248 270 308 350 360 374 392	-1288730794710
SPT(16)	1016313153717744079	0 18 54 70 88 108 114 214 318 418 424 444 462 478 514 532	-1232797137190
SPT(16)	1016313450303318581	0 8 18 42 86 98 116 140 198 222 240 252 296 320 330 338	-936211562688
STPT(10)	1016313469638432479	0 2 48 50 90 92 132 134 180 182	-916876448790
TPT(14)	1016314315725060029	0 2 12 14 30 32 138 140 192 194 198 200 228 230	-70789821240
TPT(14)	1016314381809545711	0 2 48 50 60 62 126 128 198 200 228 230 300 302	-4705335558
SPT(16)	1016314409741131069	0 114 144 202 214 240 258 288 394 424 442 468 480 538 568 682	23226249800
SPT(16)	1016314782626659727	0 2 26 30 32 56 80 102 134 156 180 204 206 210 234 236	396111778458
SPT(16)	1016315004764524079	0 2 20 42 44 90 102 140 174 212 224 270 272 294 312 314	618249642810
SPT(16)	1016315370720331771	0 6 48 82 88 172 196 202 426 432 456 540 546 580 622 628	984205450502
SPT(16)	1016315383964864303	0 14 24 38 56 104 108 126 158 176 180 228 246 260 270 284	997449983034