Prime p₀= 2543994688660928411 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 126 128
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: 128
Found by: [SG-FC] hl
db: batch=82, k=12, 2 16 2 10 2 64

SPT(16)	2543993230612915817	0 66 116 126 264 282 312 326 360 374 404 422 560 570 620 686	-1458048012594
STPT(10)	2543993332345584797	0 2 12 14 42 44 72 74 84 86	-1356315343614
SPT(16)	2543993339538304139	0 24 50 132 150 168 210 222 290 302 344 362 380 462 488 512	-1349122624272
SPT(16)	2543993409563037451	0 52 60 76 82 88 106 118 180 192 210 216 222 238 246 298	-1279097890960
SPT(16)	2543994041040983963	0 18 20 186 188 216 230 234 260 264 278 306 308 474 476 494	-647619944448
TPT(14)	2543994652708587431	0 2 78 80 90 92 108 110 138 140 150 152 168 170	-35952340980
STPT(10)	2543994754034657897	0 2 30 32 42 44 54 56 84 86	65373729486
SPT(16)	2543995140328725593	0 24 54 66 74 80 86 110 144 168 174 180 188 200 230 254	451667797182
SPT(16)	2543995207932673571	0 26 42 48 66 72 96 98 240 242 266 272 290 296 312 338	519271745160
STPT(10)	2543995770296436887	0 2 54 56 132 134 210 212 264 266	1081635508476
SPT(16)	2543995782603771107	0 6 14 24 42 50 54 80 96 122 126 134 152 162 170 176	1093942842696