Prime p₀= 304138271117792717 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 40 2 34 2 (?)
a_n: 0 2 60 62 72 74 102 104 144 146 180 182
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: 182
Found by: ladmo
db: batch=69, k=12, 58 10 28 40 34

SPT(14)	304138255281326293	0 10 46 78 136 150 168 178 196 210 268 300 336 346	-15836466424
SPT(14)	304138258642852523	0 26 80 86 114 170 180 224 234 290 318 324 378 404	-12474940194
SPT(14)	304138261600930717	0 60 90 100 136 154 162 184 192 210 246 256 286 346	-9516862000
SPT(14)	304138262769622829	0 30 42 60 92 120 140 162 182 210 242 260 272 302	-8348169888
SPT(16)	304138264289078083	0 124 130 166 174 190 226 244 336 354 390 406 414 450 456 580	-6828714634
SPT(14)	304138269313644719	0 44 72 78 144 150 158 174 182 188 254 260 288 332	-1804147998
SPT(14)	304138272351774109	0 54 60 112 138 142 172 210 240 244 270 322 328 382	1233981392
TPT(12)	304138275163451801	0 2 18 20 78 80 90 92 120 122 228 230	4045659084
TPT(12)	304138320287130137	0 2 30 32 42 44 72 74 132 134 144 146	49169337420
SPT(14)	304138320720487207	0 6 22 36 42 54 64 132 142 154 160 174 190 196	49602694490
SPT(14)	304138322499444919	0 12 30 70 132 162 184 300 322 352 414 454 472 484	51381652202