Prime p₀= 2070530508320414351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 34 2 88 2 40 2 28 2 40 2 (?)
a_n: 0 2 120 122 156 158 246 248 288 290 318 320 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 118 34 88 40 28 40

SPT(16)	2070529122379242667	0 10 90 114 120 132 160 216 340 396 424 436 442 466 546 556	-1385941171684
STPT(10)	2070529268289000017	0 2 30 32 102 104 174 176 204 206	-1240031414334
TPT(14)	2070529793260769411	0 2 18 20 138 140 180 182 258 260 306 308 336 338	-715059644940
SPT(16)	2070529799522513113	0 54 70 94 124 136 180 210 250 280 324 336 366 390 406 460	-708797901238
SPT(16)	2070529912304170981	0 28 30 42 72 76 82 96 112 126 132 136 166 178 180 208	-596016243370
SPT(16)	2070530116136569067	0 2 14 60 74 92 110 114 182 186 204 222 236 282 294 296	-392183845284
SPT(16)	2070530890994552731	0 6 16 30 52 66 82 112 120 150 166 180 202 216 226 232	382674138380
TPT(14)	2070531181331002889	0 2 30 32 72 74 78 80 132 134 168 170 198 200	673010588538
SPT(16)	2070531269561475247	0 52 142 184 196 234 244 274 282 312 322 360 372 414 504 556	761241060896
STPT(10)	2070531322311152711	0 2 6 8 48 50 90 92 96 98	813990738360
SPT(16)	2070532210300245287	0 50 74 102 114 134 144 162 164 182 192 212 224 252 276 326	1701979830936