Prime p₀= 347190006806621567 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 64 2 88 2 10 2 16 2 (?)
a_n: 0 2 54 56 120 122 210 212 222 224 240 242
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: 242
Found by: Theadalus
db: batch=70, k=12, 52 64 88 10 16

TPT(12)	347189876500499699	0 2 30 32 78 80 162 164 198 200 210 212	-130306121868
STPT(10)	347189881135401677	0 2 42 44 102 104 162 164 204 206	-125671219890
SPT(14)	347189895582680681	0 60 98 110 122 222 242 258 278 378 390 402 440 500	-111223940886
SPT(14)	347189913551307713	0 20 38 50 56 66 68 78 80 90 96 108 126 146	-93255313854
SPT(14)	347189921446742081	0 32 36 56 60 66 80 138 152 158 162 182 186 218	-85359879486
SPT(14)	347189924438890759	0 18 28 58 94 118 130 132 144 168 204 234 244 262	-82367730808
SPT(14)	347190027454375439	0 14 20 50 68 90 98 144 152 174 192 222 228 242	20647753872
SPT(14)	347190045114473647	0 10 64 76 100 130 150 196 216 246 270 282 336 346	38307852080
TPT(14)	347190062765203277	0 2 12 14 42 44 72 74 114 116 144 146 240 242	55958581710
SPT(14)	347190104433015541	0 10 18 22 40 70 88 102 120 150 168 172 180 190	97626393974
SPT(14)	347190132988523707	0 4 10 54 72 112 136 240 264 304 322 366 372 376	126181902140