Prime p₀= 2333244022060542431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 16 2 286 2 28 2 52 2 16 2 (?)
a_n: 0 2 150 152 168 170 456 458 486 488 540 542 558 560
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 560
Found by: vinn@[CNT]
db: batch=81, k=14, 148 16 286 28 52 16

SPT(16)	2333241214356483661	0 18 46 48 52 66 72 126 142 196 202 216 220 222 250 268	-2807704058770
SPT(16)	2333242195715204717	0 12 14 20 26 72 132 144 152 164 224 270 276 282 284 296	-1826345337714
STPT(10)	2333242730934129227	0 2 90 92 132 134 174 176 264 266	-1291126413204
STPT(10)	2333242775659686587	0 2 54 56 72 74 90 92 144 146	-1246400855844
TPT(14)	2333242964308219889	0 2 30 32 78 80 102 104 198 200 258 260 288 290	-1057752322542
STPT(10)	2333243792625349787	0 2 30 32 42 44 54 56 84 86	-229435192644
TPT(14)	2333244092049123107	0 2 30 32 72 74 114 116 150 152 162 164 294 296	69988580676
STPT(10)	2333244155397787529	0 2 18 20 60 62 102 104 120 122	133337245098
SPT(16)	2333244329494013977	0 4 16 30 40 60 90 112 114 136 166 186 196 210 222 226	307433471546
STPT(12)	2333244529277366519	0 2 12 14 42 44 48 50 78 80 90 92	507216824088
STPT(10)	2333244779613798887	0 2 12 14 72 74 132 134 144 146	757553256456