Prime p₀= 181509433695900899 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 178 2 16 2 88 2 16 2 (?)
a_n: 0 2 42 44 222 224 240 242 330 332 348 350
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: 350
Found by: emoga
db: batch=69, k=12, 40 178 16 88 16

SPT(14)	181509319588040221	0 16 46 72 82 88 96 172 180 186 196 222 252 268	-114107860678
SPT(14)	181509354835744711	0 10 42 58 118 132 150 178 196 210 270 286 318 328	-78860156188
TPT(12)	181509360813434789	0 2 48 50 78 80 90 92 120 122 132 134	-72882466110
SPT(14)	181509376729779281	0 50 56 66 96 110 120 128 138 152 182 192 198 248	-56966121618
SPT(14)	181509412140961819	0 10 24 40 70 78 84 88 94 102 132 148 162 172	-21554939080
SPT(14)	181509415013044801	0 28 46 78 96 106 138 190 222 232 250 282 300 328	-18682856098
TPT(14)	181509470318401697	0 2 90 92 180 182 192 194 222 224 264 266 300 302	36622500798
TPT(12)	181509499171970951	0 2 18 20 60 62 156 158 198 200 216 218	65476070052
STPT(12)	181509499171970951	0 2 18 20 60 62 156 158 198 200 216 218	65476070052
SPT(14)	181509533794639643	0 8 108 116 120 158 168 176 186 224 228 236 336 344	100098738744
TPT(12)	181509534329194217	0 2 12 14 42 44 144 146 150 152 222 224	100633293318