Prime p₀= 115690341656708639 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 58 2 88 2 16 2 (?)
a_n: 0 2 42 44 60 62 120 122 210 212 228 230
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: 230
Found by: nenym
db: batch=67, k=12, 40 16 58 88 16

SPT(14)	115690266475386773	0 8 18 30 56 60 66 98 104 108 134 146 156 164	-75181321866
TPT(12)	115690274739421769	0 2 72 74 90 92 162 164 228 230 288 290	-66917286870
SPT(14)	115690290998554501	0 42 48 52 66 76 88 150 162 172 186 190 196 238	-50658154138
SPT(14)	115690293279828691	0 30 46 72 88 100 106 162 168 180 196 222 238 268	-48376879948
SPT(14)	115690301101347943	0 36 40 54 88 148 166 258 276 336 370 384 388 424	-40555360696
SPT(14)	115690306793577029	0 2 12 20 48 54 62 90 98 104 132 140 150 152	-34863131610
SPT(14)	115690356754372013	0 54 78 96 104 126 180 224 278 300 308 326 350 404	15097663374
SPT(14)	115690368921905053	0 58 70 78 90 138 148 168 178 226 238 246 258 316	27265196414
SPT(16)	115690374182723801	0 30 42 138 152 180 282 296 432 446 548 576 590 686 698 728	32526015162
SPT(14)	115690386549865199	0 14 24 42 72 114 150 164 200 242 272 290 300 314	44893156560
SPT(14)	115690396200182897	0 90 104 134 140 162 174 260 272 294 300 330 344 434	54543474258