Prime p₀= 392221656958272497 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 16 2 40 2 28 2 (?)
a_n: 0 2 24 26 54 56 72 74 114 116 144 146
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: 146
Found by: Ralfy
db: batch=70, k=12, 22 28 16 40 28

TPT(14)	392221626715977629	0 2 48 50 60 62 72 74 180 182 198 200 240 242	-30242294868
SPT(16)	392221628401368539	0 20 60 72 90 92 114 134 138 158 180 182 200 212 252 272	-28556903958
SPT(16)	392221633776058201	0 30 40 42 78 148 180 192 238 250 282 352 388 390 400 430	-23182214296
SPT(14)	392221646718504781	0 10 22 28 58 70 72 76 78 90 120 126 138 148	-10239767716
SPT(14)	392221647280908317	0 26 36 60 90 92 104 132 144 146 176 200 210 236	-9677364180
SPT(14)	392221647583234331	0 36 42 126 146 192 228 230 266 312 332 416 422 458	-9375038166
TPT(12)	392221696352480009	0 2 30 32 42 44 108 110 198 200 222 224	39394207512
SPT(14)	392221699452337739	0 14 144 152 164 174 182 270 278 288 300 308 438 452	42494065242
SPT(14)	392221720105579099	0 22 24 64 72 94 108 184 198 220 228 268 270 292	63147306602
TPT(12)	392221738717309997	0 2 60 62 144 146 150 152 192 194 222 224	81759037500
SPT(14)	392221765038010069	0 18 24 28 78 82 138 154 210 214 264 268 274 292	108079737572