Prime p₀= 3001387196753893601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 46 2 58 2 40 2 10 2 58 2 (?)
a_n: 0 2 168 170 216 218 276 278 318 320 330 332 390 392
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: 392
Found by: Orange Kid
db: batch=82, k=14, 166 46 58 40 10 58

SPT(16)	3001385058890062589	0 24 44 54 62 120 192 264 290 362 434 492 500 510 530 554	-2137863831012
SPT(16)	3001386295658094389	0 2 14 90 104 110 152 180 212 240 282 288 302 378 390 392	-901095799212
SPT(16)	3001386350046648169	0 28 30 64 72 90 132 138 184 190 232 250 258 292 294 322	-846707245432
SPT(16)	3001386912237203059	0 58 94 100 114 138 142 154 318 330 334 358 372 378 414 472	-284516690542
SPT(16)	3001386938914260857	0 20 24 42 44 72 102 174 182 254 284 312 314 332 336 356	-257839632744
SPT(16)	3001386939088067807	0 6 30 32 56 60 140 144 182 186 266 270 294 296 320 326	-257665825794
STPT(10)	3001387866996660899	0 2 18 20 30 32 42 44 60 62	670242767298
SPT(16)	3001388112990277757	0 32 60 66 80 96 102 140 186 224 230 246 260 266 294 326	916236384156
STPT(10)	3001388358328655819	0 2 18 20 30 32 42 44 60 62	1161574762218
STPT(10)	3001388587127071709	0 2 78 80 120 122 162 164 240 242	1390373178108
SPT(16)	3001389276690165523	0 40 54 66 88 130 208 246 298 336 414 456 478 490 504 544	2079936271922