Prime p₀= 321168048991153319 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 118 2 76 2 52 2 (?)
a_n: 0 2 48 50 60 62 180 182 258 260 312 314
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: 314
Found by: marmot
db: batch=70, k=12, 46 10 118 76 52

SPT(14)	321167993585757119	0 2 8 42 72 74 128 174 228 230 260 294 300 302	-55405396200
TPT(12)	321167995129073039	0 2 78 80 138 140 162 164 180 182 210 212	-53862080280
SPT(14)	321168028306209397	0 36 40 42 60 82 96 136 150 172 190 192 196 232	-20684943922
SPT(14)	321168030381078893	0 6 20 56 96 110 140 150 180 194 234 270 284 290	-18610074426
SPT(14)	321168031174092233	0 24 36 50 80 98 228 266 396 414 444 458 470 494	-17817061086
TPT(12)	321168036206213237	0 2 60 62 72 74 222 224 270 272 312 314	-12784940082
SPT(14)	321168049656998233	0 30 34 76 78 118 126 148 156 196 198 240 244 274	665844914
STPT(10)	321168050981389277	0 2 30 32 42 44 54 56 84 86	1990235958
SPT(14)	321168086636948497	0 22 42 52 60 84 112 144 172 196 204 214 234 256	37645795178
SPT(14)	321168099573105311	0 36 50 62 80 98 108 140 150 168 186 198 212 248	50581951992
SPT(14)	321168115488208447	0 34 46 60 64 120 132 154 166 222 226 240 252 286	66497055128