Prime p₀= 2862462783424210607 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: Landjunge
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2862460587942937307	0 14 36 42 56 102 126 152 294 320 344 390 404 410 432 446	-2195481273300
SPT(16)	2862460671817179731	0 6 12 68 90 110 116 158 240 282 288 308 330 386 392 398	-2111607030876
STPT(10)	2862461520116295239	0 2 18 20 30 32 42 44 60 62	-1263307915368
SPT(16)	2862461610442208923	0 18 58 84 100 114 120 148 186 214 220 234 250 276 316 334	-1172982001684
STPT(10)	2862461958624085001	0 2 30 32 60 62 90 92 120 122	-824800125606
TPT(16)	2862462167389396529	0 2 168 170 192 194 240 242 348 350 390 392 402 404 462 464	-616034814078
SPT(16)	2862462833232642181	0 6 10 58 72 76 78 178 180 280 282 286 300 348 352 358	49808431574
STPT(10)	2862462925279947929	0 2 18 20 30 32 42 44 60 62	141855737322
SPT(16)	2862462954628317181	0 18 30 60 82 96 120 130 138 148 172 186 208 238 250 268	171204106574
TPT(14)	2862463132547846057	0 2 24 26 72 74 150 152 222 224 294 296 360 362	349123635450
STPT(10)	2862463234200096809	0 2 18 20 60 62 102 104 120 122	450775886202