Prime p₀= 296064751754732267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 70 2 46 2 328 2 22 2 (?)
a_n: 0 2 30 32 102 104 150 152 480 482 504 506
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: 506
Found by: emoga
db: batch=69, k=12, 28 70 46 328 22

SPT(14)	296064674651801281	0 18 28 42 72 76 88 90 102 106 136 150 160 178	-77102930986
SPT(14)	296064681080116601	0 60 72 78 80 92 116 132 156 168 170 176 188 248	-70674615666
TPT(12)	296064710538691691	0 2 126 128 156 158 216 218 288 290 330 332	-41216040576
SPT(14)	296064714064942201	0 10 16 36 42 52 78 100 126 136 142 162 168 178	-37689790066
SPT(14)	296064727699115513	0 24 26 66 74 80 108 266 294 300 308 348 350 374	-24055616754
SPT(14)	296064751475598607	0 36 40 46 60 64 66 124 126 130 144 150 154 190	-279133660
SPT(14)	296064764322398909	0 18 32 60 80 84 120 122 158 162 182 210 224 242	12567666642
SPT(14)	296064781281430897	0 10 16 24 40 54 82 114 142 156 172 180 186 196	29526698630
SPT(14)	296064804260618951	0 8 98 132 188 246 252 266 272 330 386 420 510 518	52505886684
SPT(14)	296064848628742577	0 20 44 72 80 86 96 140 150 156 164 192 216 236	96874010310
SPT(14)	296064857359075379	0 12 78 102 108 150 152 210 212 254 260 284 350 362	105604343112