Prime p₀= 2393994739599911471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 46 2 130 2 10 2 (?)
a_n: 0 2 18 20 36 38 78 80 126 128 258 260 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 16 16 40 46 130 10

SPT(16)	2393993872649966359	0 24 94 154 168 178 208 210 232 234 264 274 288 348 418 442	-866949945112
SPT(16)	2393993957232265757	0 6 26 42 62 66 90 120 152 182 206 210 230 246 266 272	-782367645714
SPT(16)	2393994059005254073	0 46 54 78 84 96 166 196 198 228 298 310 316 340 348 394	-680594657398
SPT(16)	2393994083712702487	0 4 16 34 42 60 112 186 340 414 466 484 492 510 522 526	-655887208984
SPT(16)	2393994090705053411	0 42 60 86 150 152 212 240 278 306 366 368 432 458 476 518	-648894858060
SPT(16)	2393994147104966059	0 30 34 42 58 64 82 90 142 150 168 174 190 198 202 232	-592494945412
SPT(16)	2393994872123523061	0 12 18 40 52 70 82 130 150 198 210 228 240 262 268 280	132523611590
SPT(16)	2393995005179622617	0 14 26 42 90 122 134 164 192 222 234 266 314 330 342 356	265579711146
TPT(14)	2393995329757433951	0 2 6 8 66 68 90 92 96 98 300 302 378 380	590157522480
TPT(14)	2393995555952609891	0 2 36 38 60 62 120 122 168 170 396 398 408 410	816352698420
SPT(16)	2393996100257317547	0 14 24 32 36 54 66 140 186 260 272 290 294 302 312 326	1360657406076