Prime p₀= 2148829915652099969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 118 2 4 2 28 2 40 2 (?)
a_n: 0 2 90 92 132 134 252 254 258 260 288 290 330 332
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: 332
Found by: Landjunge
db: batch=81, k=14, 88 40 118 4 28 40

SPT(16)	2148829377956942311	0 30 52 78 108 138 196 198 220 222 280 310 340 366 388 418	-537695157658
SPT(16)	2148829736108799307	0 54 70 90 102 120 172 174 202 204 256 274 286 306 322 376	-179543300662
STPT(10)	2148829743417748607	0 2 60 62 72 74 84 86 144 146	-172234351362
SPT(16)	2148829750051755787	0 70 90 136 172 196 276 370 372 466 546 570 606 652 672 742	-165600344182
STPT(10)	2148829790090441957	0 2 30 32 72 74 114 116 144 146	-125561658012
SPT(16)	2148829910956054399	0 34 40 72 82 90 132 138 184 190 232 240 250 282 288 322	-4696045570
SPT(16)	2148829984086945427	0 22 24 36 72 100 136 156 190 210 246 274 310 322 324 346	68434845458
STPT(10)	2148830028576461141	0 2 6 8 18 20 30 32 36 38	112924361172
STPT(10)	2148830231098474697	0 2 42 44 72 74 102 104 144 146	315446374728
SPT(16)	2148830576029820279	0 2 18 42 78 108 122 132 200 210 224 254 290 314 330 332	660377720310
SPT(16)	2148830629733588699	0 38 54 134 170 174 192 248 264 320 338 342 378 458 474 512	714081488730