Prime p₀= 1245767177987159939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 94 2 40 2 58 2 136 2 28 2 (?)
a_n: 0 2 72 74 168 170 210 212 270 272 408 410 438 440
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: 440
Found by: [AF>Libristes]Maeda
db: batch=77, k=14, 70 94 40 58 136 28

SPT(16)	1245765385887028157	0 2 42 50 72 86 110 170 222 282 306 320 342 350 390 392	-1792100131782
SPT(16)	1245766428159362713	0 10 30 88 90 108 120 130 174 184 196 214 216 274 294 304	-749827797226
SPT(18)	1245766618319400161	0 26 48 78 90 92 98 116 138 140 162 180 186 188 200 230 252 278	-559667759778
SPT(16)	1245766929645219929	0 38 62 78 80 120 132 134 288 290 302 342 344 360 384 422	-248341940010
SPT(16)	1245767039130942203	0 50 108 144 168 204 260 288 326 354 410 446 470 506 564 614	-138856217736
SPT(18)	1245767044377474461	0 56 66 78 90 108 122 156 168 170 182 216 230 248 260 272 282 338	-133609685478
STPT(10)	1245767395249217921	0 2 66 68 108 110 150 152 216 218	217262057982
TPT(14)	1245767472288742979	0 2 30 32 78 80 102 104 168 170 252 254 300 302	294301583040
SPT(16)	1245767659504585631	0 38 72 102 116 128 156 162 206 212 240 252 266 296 330 368	481517425692
SPT(16)	1245767675949055211	0 86 98 138 150 252 306 320 348 362 416 518 530 570 582 668	497961895272
STPT(10)	1245767759522784539	0 2 18 20 30 32 42 44 60 62	581535624600