Prime p₀= 2687946497807180369 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: biodoc
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2687944412316011413	0 24 28 34 48 60 94 96 118 120 154 166 180 186 190 214	-2085491168956
SPT(16)	2687945175244632547	0 34 72 76 114 184 214 226 270 282 312 382 420 424 462 496	-1322562547822
STPT(10)	2687945402173055417	0 2 30 32 42 44 54 56 84 86	-1095634124952
SPT(16)	2687945462677954007	0 14 36 60 62 74 90 96 140 146 162 174 176 200 222 236	-1035129226362
SPT(16)	2687945780049580511	0 80 126 128 180 198 206 240 266 300 308 326 378 380 426 506	-717757599858
SPT(16)	2687946246273294311	0 2 26 32 126 156 200 222 260 282 326 356 450 456 480 482	-251533886058
STPT(10)	2687946732660027257	0 2 42 44 72 74 102 104 144 146	234852846888
SPT(16)	2687947011014530387	0 30 90 124 126 264 366 436 444 514 616 754 756 790 850 880	513207350018
STPT(10)	2687947394100871499	0 2 18 20 60 62 102 104 120 122	896293691130
SPT(16)	2687947484931580681	0 28 60 82 90 102 130 196 222 288 316 328 336 358 390 418	987124400312
SPT(16)	2687947878294595153	0 34 40 96 100 138 154 160 174 180 196 234 238 294 300 334	1380487414784