Prime p₀= 282731058824973221 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 148 2 16 2 40 2 40 2 (?)
a_n: 0 2 138 140 288 290 306 308 348 350 390 392
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: 392
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=12, 136 148 16 40 40

SPT(14)	282730936029569047	0 30 42 54 66 70 72 124 126 130 142 154 166 196	-122795404174
SPT(14)	282730945231088617	0 16 40 54 72 82 124 132 174 184 202 216 240 256	-113593884604
SPT(16)	282730975980834587	0 44 62 66 104 110 152 194 252 294 336 342 380 384 402 446	-82844138634
SPT(16)	282731006829226589	0 18 62 72 84 104 110 134 138 162 168 188 200 210 254 272	-51995746632
SPT(14)	282731023996327427	0 2 14 36 66 72 92 114 134 140 170 192 204 206	-34828645794
SPT(16)	282731032526450293	0 10 30 70 78 84 100 120 148 168 184 190 198 238 258 268	-26298522928
SPT(14)	282731098585990477	0 16 22 54 64 100 132 184 216 252 262 294 300 316	39761017256
TPT(12)	282731101087973441	0 2 36 38 66 68 156 158 168 170 180 182	42263000220
TPT(12)	282731111334608969	0 2 30 32 48 50 90 92 132 134 138 140	52509635748
SPT(14)	282731116718872793	0 6 26 30 44 54 60 110 116 126 140 144 164 170	57893899572
SPT(14)	282731118622848197	0 44 54 66 80 86 110 156 180 186 200 212 222 266	59797874976