Prime p₀= 2778153871906610849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 112 2 58 2 34 2 28 2 10 2 (?)
a_n: 0 2 78 80 192 194 252 254 288 290 318 320 330 332
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: fzs600
db: batch=82, k=14, 76 112 58 34 28 10

SPT(16)	2778152030381621951	0 128 180 186 198 212 222 236 252 266 276 290 302 308 360 488	-1841524988898
SPT(16)	2778152110281654077	0 12 24 54 72 116 212 242 264 294 390 434 452 482 494 506	-1761624956772
SPT(16)	2778152265760197541	0 42 66 138 160 166 196 250 288 342 372 378 400 472 496 538	-1606146413308
SPT(16)	2778152825821620817	0 34 70 72 94 100 120 192 202 274 294 300 322 324 360 394	-1046084990032
SPT(16)	2778153451454024713	0 144 154 214 264 306 324 346 354 376 394 436 486 546 556 700	-420452586136
SPT(16)	2778153628549579141	0 16 168 198 240 270 276 288 298 310 316 346 388 418 570 586	-243357031708
STPT(10)	2778154019842086341	0 2 30 32 78 80 126 128 156 158	147935475492
SPT(16)	2778154121479720117	0 4 30 60 70 94 172 180 226 234 312 336 346 376 402 406	249573109268
SPT(16)	2778154372101172037	0 50 72 80 120 152 156 180 182 206 210 242 282 290 312 362	500194561188
STPT(12)	2778155170313993969	0 2 30 32 42 44 90 92 102 104 132 134	1298407383120
SPT(16)	2778155330477274233	0 50 56 80 84 104 150 176 288 314 360 380 384 408 414 464	1458570663384