Prime p₀= 1080715977416527187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 34 2 40 2 88 2 10 2 (?)
a_n: 0 2 30 32 114 116 150 152 192 194 282 284 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 28 82 34 40 88 10

SPT(18)	1080714811746363251	0 2 50 72 80 98 126 128 156 182 210 212 240 258 266 288 336 338	-1165670163936
SPT(16)	1080714861506188121	0 6 26 38 42 96 108 126 152 170 182 236 240 252 272 278	-1115910339066
STPT(10)	1080715088695523249	0 2 48 50 90 92 132 134 180 182	-888721003938
STPT(10)	1080715228169598347	0 2 42 44 72 74 102 104 144 146	-749246928840
SPT(16)	1080715448324420333	0 60 66 80 120 146 174 218 276 320 348 374 414 428 434 494	-529092106854
TPT(14)	1080715513376709149	0 2 42 44 60 62 78 80 90 92 120 122 132 134	-464039818038
SPT(16)	1080716117982314267	0 26 44 56 60 102 104 110 186 192 194 236 240 252 270 296	140565787080
SPT(16)	1080716159681783813	0 26 48 116 126 140 210 224 360 374 444 458 468 536 558 584	182265256626
SPT(16)	1080716175336810251	0 18 30 66 92 126 150 182 306 338 362 396 422 458 470 488	197920283064
SPT(16)	1080716207724272341	0 6 10 22 36 46 102 112 126 136 192 202 216 228 232 238	230307745154
TPT(14)	1080716612425183247	0 2 42 44 90 92 150 152 174 176 204 206 222 224	635008656060