Prime p₀= 451808952048870467 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 28 2 4 2 (?)
a_n: 0 2 72 74 84 86 174 176 204 206 210 212
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: 212
Found by: desktop64
db: batch=70, k=12, 70 10 88 28 4

TPT(12)	451808877067284677	0 2 12 14 54 56 120 122 132 134 360 362	-74981585790
TPT(12)	451808918097909941	0 2 30 32 48 50 60 62 90 92 156 158	-33950960526
SPT(14)	451808918174638007	0 90 104 132 176 180 266 300 386 390 434 462 476 566	-33874232460
SPT(14)	451808918614050377	0 20 90 116 144 156 174 182 200 212 240 266 336 356	-33434820090
SPT(14)	451808941758124193	0 66 68 78 80 84 140 144 200 204 206 216 218 284	-10290746274
SPT(14)	451808946597246961	0 28 42 46 66 72 78 100 106 112 132 136 150 178	-5451623506
STPT(10)	451808954069885021	0 2 36 38 78 80 120 122 156 158	2021014554
SPT(14)	451808980161342971	0 6 18 48 90 96 110 186 200 206 248 278 290 296	28112472504
TPT(12)	451808980207815497	0 2 54 56 120 122 180 182 222 224 234 236	28158945030
SPT(16)	451808986598756219	0 24 44 98 144 158 188 198 200 210 240 254 300 354 374 398	34549885752
TPT(12)	451808998876100291	0 2 18 20 30 32 96 98 138 140 150 152	46827229824