Prime p₀= 1245295765878021629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 64 2 58 2 40 2 28 2 (?)
a_n: 0 2 72 74 102 104 168 170 228 230 270 272 300 302
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: 302
Found by: HenkM
db: batch=77, k=14, 70 28 64 58 40 28

STPT(10)	1245294180366217367	0 2 12 14 42 44 72 74 84 86	-1585511804262
SPT(16)	1245294580091849621	0 12 66 80 92 126 140 180 218 258 272 306 318 332 386 398	-1185786172008
STPT(10)	1245294601793341367	0 2 90 92 102 104 114 116 204 206	-1164084680262
SPT(16)	1245294919221868483	0 16 34 70 94 126 184 196 198 210 268 300 324 360 378 394	-846656153146
TPT(14)	1245295224904610861	0 2 48 50 60 62 78 80 90 92 120 122 126 128	-540973410768
STPT(10)	1245295618246094939	0 2 18 20 30 32 42 44 60 62	-147631926690
SPT(16)	1245296336225220043	0 10 64 78 84 108 136 144 160 168 196 220 226 240 294 304	570347198414
TPT(14)	1245296387657008031	0 2 48 50 78 80 120 122 288 290 426 428 468 470	621778986402
SPT(16)	1245296711839954621	0 52 60 78 100 106 172 210 298 336 402 408 430 448 456 508	945961932992
SPT(16)	1245296913463298711	0 12 30 42 72 108 140 152 156 168 200 236 266 278 296 308	1147585277082
SPT(16)	1245297228577554223	0 30 78 88 96 120 144 166 168 190 214 238 246 256 304 334	1462699532594