Prime p₀= 1007649990425630339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 70 2 4 2 28 2 88 2 (?)
a_n: 0 2 12 14 60 62 132 134 138 140 168 170 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 10 46 70 4 28 88

TPT(14)	1007648249285073161	0 2 6 8 126 128 138 140 258 260 306 308 330 332	-1741140557178
SPT(16)	1007648388893508139	0 12 22 40 42 52 100 114 178 192 240 250 252 270 280 292	-1601532122200
TPT(14)	1007648847907453331	0 2 30 32 108 110 126 128 150 152 186 188 336 338	-1142518177008
SPT(16)	1007648901457057903	0 10 36 40 58 64 114 150 154 190 240 246 264 268 294 304	-1088968572436
SPT(16)	1007649499861202659	0 4 10 52 60 90 112 114 130 132 154 184 192 234 240 244	-490564427680
SPT(16)	1007649917679949639	0 54 72 102 138 142 168 174 208 214 240 244 280 310 328 382	-72745680700
STPT(10)	1007650272904168211	0 2 48 50 108 110 168 170 216 218	282478537872
SPT(16)	1007650981000172681	0 72 78 120 168 170 182 230 240 288 300 302 350 392 398 470	990574542342
STPT(10)	1007651064411491189	0 2 18 20 30 32 42 44 60 62	1073985860850
STPT(10)	1007651486018830481	0 2 6 8 48 50 90 92 96 98	1495593200142
SPT(16)	1007651536340771449	0 4 24 30 72 88 102 112 180 190 204 220 262 268 288 292	1545915141110