Prime p₀= 296064862812494717 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 118 2 76 2 28 2 22 2 (?)
a_n: 0 2 12 14 132 134 210 212 240 242 264 266
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: 266
Found by: emoga
db: batch=69, k=12, 10 118 76 28 22

SPT(14)	296064781281430897	0 10 16 24 40 54 82 114 142 156 172 180 186 196	-81531063820
SPT(14)	296064804260618951	0 8 98 132 188 246 252 266 272 330 386 420 510 518	-58551875766
SPT(14)	296064848628742577	0 20 44 72 80 86 96 140 150 156 164 192 216 236	-14183752140
SPT(14)	296064857359075379	0 12 78 102 108 150 152 210 212 254 260 284 350 362	-5453419338
SPT(14)	296064859397140303	0 18 40 66 120 150 156 178 184 214 268 294 316 334	-3415354414
SPT(14)	296064861758686583	0 54 98 110 138 140 150 248 258 260 288 300 344 398	-1053808134
SPT(14)	296064867066319009	0 18 28 72 112 154 168 184 198 240 280 324 334 352	4253824292
SPT(14)	296064869275853299	0 4 18 30 40 48 52 90 94 102 112 124 138 142	6463358582
SPT(14)	296064870907432019	0 24 32 42 60 72 74 120 122 134 152 162 170 194	8094937302
TPT(12)	296064881410671341	0 2 48 50 66 68 90 92 138 140 276 278	18598176624
SPT(14)	296064883682570593	0 28 34 48 70 78 90 154 166 174 196 210 216 244	20870075876