Prime p₀= 4830762985039097 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 10 2 64 2 58 2 22 2 (?)
a_n: 0 2 72 74 84 86 150 152 210 212 234 236
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: 236
Found by: crashtech
db: batch=61, k=12, 70 10 64 58 22

SPT(14)	4830744656499467	0 12 26 66 90 110 146 300 336 356 380 420 434 446	-18328539630
SPT(14)	4830745188971287	0 112 132 136 150 154 166 180 192 196 210 214 234 346	-17796067810
TPT(12)	4830745810321601	0 2 30 32 78 80 186 188 216 218 300 302	-17174717496
SPT(14)	4830756100987403	0 20 30 48 56 110 140 156 186 240 248 266 276 296	-6884051694
SPT(14)	4830759798219941	0 36 48 78 110 138 158 210 230 258 290 320 332 368	-3186819156
SPT(14)	4830762421124027	0 12 42 50 62 72 120 146 194 204 216 224 254 266	-563915070
TPT(12)	4830764005192451	0 2 6 8 60 62 126 128 138 140 186 188	1020153354
SPT(14)	4830777548424917	0 36 42 92 110 144 152 174 182 216 234 284 290 326	14563385820
SPT(14)	4830779740616471	0 32 36 78 102 108 146 162 200 206 230 272 276 308	16755577374
SPT(14)	4830789128879113	0 66 70 78 88 100 114 220 234 246 256 264 268 334	26143840016
SPT(14)	4830794966240939	0 48 78 90 98 104 138 164 198 204 212 224 254 302	31981201842