Prime p₀= 2216708681262823679 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 76 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 150 152 180 182 222 224
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: 224
Found by: Landjunge
db: batch=81, k=12, 2 40 2 28 2 76

SPT(16)	2216707895039324047	0 30 96 124 126 180 202 240 256 294 316 370 372 400 466 496	-786223499632
SPT(16)	2216707930083464887	0 24 34 70 72 114 130 136 150 156 172 214 216 252 262 286	-751179358792
SPT(16)	2216708037531347779	0 12 72 100 132 144 258 292 300 334 448 460 492 520 580 592	-643731475900
SPT(16)	2216708359349340851	0 2 30 96 102 140 186 192 200 206 252 290 296 362 390 392	-321913482828
SPT(16)	2216708410609016993	0 36 44 56 78 84 86 110 114 138 140 146 168 180 188 224	-270653806686
SPT(16)	2216708662867887791	0 36 78 96 150 168 182 210 248 276 290 308 362 380 422 458	-18394935888
SPT(16)	2216708994884139029	0 60 68 110 114 138 162 180 182 200 224 248 252 294 302 362	313621315350
TPT(14)	2216709470836972061	0 2 30 32 66 68 150 152 156 158 168 170 186 188	789574148382
SPT(16)	2216709553484071273	0 4 6 90 94 96 216 250 264 298 418 420 424 508 510 514	872221247594
STPT(10)	2216709643853914379	0 2 42 44 60 62 78 80 120 122	962591090700
STPT(10)	2216709958283646611	0 2 36 38 78 80 120 122 156 158	1277020822932