Prime p₀= 1048967736410239691 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 70 2 58 2 70 2 4 2 (?)
a_n: 0 2 6 8 78 80 138 140 210 212 216 218
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: 218
Found by: stoneageman
db: batch=76, k=12, 2 4 2 70 2 58

SPT(16)	1048966472458012063	0 30 96 124 174 184 190 196 258 264 270 280 330 358 424 454	-1263952227628
SPT(16)	1048966587242740181	0 30 78 86 108 116 122 126 152 156 162 170 192 200 248 278	-1149167499510
SPT(16)	1048966603876877297	0 44 56 66 80 120 146 156 230 240 266 306 320 330 342 386	-1132533362394
STPT(10)	1048966734375834017	0 2 42 44 72 74 102 104 144 146	-1002034405674
STPT(10)	1048967326342519247	0 2 42 44 72 74 102 104 144 146	-410067720444
SPT(16)	1048967584897572103	0 36 54 70 100 106 144 166 168 190 228 234 264 280 298 334	-151512667588
SPT(16)	1048968147413590319	0 24 80 110 132 138 152 200 222 270 284 290 312 342 398 422	411003350628
STPT(10)	1048968165996395147	0 2 24 26 42 44 60 62 84 86	429586155456
SPT(16)	1048968283283501167	0 34 66 114 126 160 196 210 250 264 300 334 346 394 426 460	546873261476
SPT(13)	1048968405588766367	0 6 24 90 126 144 210 276 294 330 396 414 420	669178526676
STPT(10)	1048968461200759901	0 2 6 8 48 50 90 92 96 98	724790520210