Prime p₀= 1214440121313988769 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 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: vinn@[CNT]
db: batch=77, k=12, 2 10 2 16 2 40

SPT(16)	1214438771587530439	0 4 12 82 88 118 144 184 198 238 264 294 300 370 378 382	-1349726458330
SPT(16)	1214439269402866763	0 50 78 86 90 138 174 210 224 260 296 344 348 356 384 434	-851911122006
SPT(16)	1214439457601079449	0 20 68 90 102 110 152 158 342 348 390 398 410 432 480 500	-663712909320
TPT(14)	1214439466997778311	0 2 36 38 78 80 90 92 210 212 276 278 330 332	-654316210458
SPT(16)	1214439512443794149	0 32 84 102 104 120 128 134 168 174 182 198 200 218 270 302	-608870194620
SPT(16)	1214440095264519029	0 8 54 84 90 92 114 162 320 368 390 392 398 428 474 482	-26049469740
SPT(16)	1214440151519960689	0 4 48 70 84 90 112 130 132 150 172 178 192 214 258 262	30205971920
SPT(16)	1214441003926787359	0 10 34 78 88 160 202 214 258 270 312 384 394 438 462 472	882612798590
STPT(10)	1214441444784292997	0 2 24 26 42 44 60 62 84 86	1323470304228
STPT(10)	1214441676857935439	0 2 42 44 90 92 138 140 180 182	1555543946670
STPT(10)	1214442264351268637	0 2 24 26 42 44 60 62 84 86	2143037279868