Prime p₀= 2046866386721868431 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: Orange Kid
db: batch=80, k=12, 2 16 2 10 2 64

SPT(16)	2046865090548837193	0 40 60 108 118 138 160 180 244 264 286 306 316 364 384 424	-1296173031238
SPT(16)	2046865670893936237	0 30 34 60 70 94 102 126 220 244 252 276 286 312 316 346	-715827932194
TPT(14)	2046865797467866409	0 2 12 14 72 74 102 104 108 110 192 194 210 212	-589254002022
SPT(16)	2046865989493933733	0 6 30 56 86 90 144 156 158 170 224 228 258 284 308 314	-397227934698
SPT(16)	2046866001593371313	0 6 14 36 68 90 116 134 150 168 194 216 248 270 278 284	-385128497118
SPT(16)	2046866259929724137	0 6 42 56 66 86 104 146 150 192 210 230 240 254 290 296	-126792144294
STPT(10)	2046866587792869629	0 2 42 44 90 92 138 140 180 182	201071001198
SPT(16)	2046867019146352531	0 36 88 102 112 156 160 172 216 228 232 276 286 300 352 388	632424484100
STPT(10)	2046867068442037727	0 2 30 32 72 74 114 116 144 146	681720169296
SPT(16)	2046867124373217217	0 10 52 54 84 96 112 192 214 294 310 322 352 354 396 406	737651348786
SPT(16)	2046867156072165593	0 38 56 66 78 104 108 140 144 176 180 206 218 228 246 284	769350297162