Prime p₀= 740292706791558131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 46 2 40 2 64 2 10 2 (?)
a_n: 0 2 78 80 120 122 168 170 210 212 276 278 288 290
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: 290
Found by: [SG]steini
db: batch=73, k=14, 76 40 46 40 64 10

SPT(16)	740291840044992371	0 66 90 140 168 206 236 308 330 402 432 470 498 548 572 638	-866746565760
SPT(16)	740291863119087439	0 24 30 42 84 118 138 142 150 154 174 208 250 262 268 292	-843672470692
SPT(16)	740292190657396001	0 8 30 32 60 62 78 108 182 212 228 230 258 260 282 290	-516134162130
SPT(16)	740292282345466397	0 30 50 56 60 66 74 84 152 162 170 176 180 186 206 236	-424446091734
STPT(10)	740292396307338629	0 2 18 20 30 32 42 44 60 62	-310484219502
TPT(14)	740292572049133487	0 2 60 62 150 152 192 194 270 272 294 296 324 326	-134742424644
STPT(10)	740292709010491631	0 2 36 38 78 80 120 122 156 158	2218933500
SPT(16)	740293282069614401	0 50 56 78 86 140 150 156 170 176 186 240 248 270 276 326	575278056270
STPT(10)	740293351415985977	0 2 30 32 42 44 54 56 84 86	644624427846
STPT(10)	740293460084187431	0 2 36 38 78 80 120 122 156 158	753292629300
STPT(10)	740293511765426789	0 2 18 20 30 32 42 44 60 62	804973868658