Prime p₀= 2380704682244395649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: Merowig
db: batch=81, k=12, 2 28 2 10 2 16

STPT(10)	2380703794604415191	0 2 6 8 18 20 30 32 36 38	-887639980458
STPT(10)	2380703909559217139	0 2 18 20 60 62 102 104 120 122	-772685178510
SPT(16)	2380703982060788207	0 96 102 110 126 132 140 146 186 192 200 206 222 230 236 332	-700183607442
SPT(16)	2380704092994527063	0 30 38 110 126 140 144 194 210 260 264 278 294 366 374 404	-589249868586
STPT(10)	2380704115015252391	0 2 30 32 78 80 126 128 156 158	-567229143258
SPT(16)	2380704570803268797	0 50 54 62 90 110 152 162 194 204 246 266 294 302 306 356	-111441126852
SPT(16)	2380704903563879029	0 30 48 90 112 118 130 148 264 282 294 300 322 364 382 412	221319483380
STPT(10)	2380704909673926917	0 2 54 56 72 74 90 92 144 146	227429531268
SPT(16)	2380704923261136893	0 38 108 110 120 126 128 156 218 246 248 254 264 266 336 374	241016741244
STPT(10)	2380704937445973137	0 2 24 26 42 44 60 62 84 86	255201577488
SPT(16)	2380705051016938829	0 30 32 60 78 98 102 128 234 260 264 284 302 330 332 362	368772543180