Prime p₀= 2043192628654969289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 250 2 16 2 16 2 (?)
a_n: 0 2 78 80 108 110 120 122 372 374 390 392 408 410
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: 410
Found by: Landjunge
db: batch=80, k=14, 76 28 10 250 16 16

SPT(16)	2043191220976271537	0 92 96 110 146 182 210 224 252 266 294 330 366 380 384 476	-1407678697752
SPT(16)	2043191285609745437	0 36 50 96 104 300 356 372 404 420 476 672 680 726 740 776	-1343045223852
SPT(18)	2043191288382046031	0 6 12 48 50 62 78 146 216 272 342 410 426 438 440 476 482 488	-1340272923258
SPT(16)	2043191387542331027	0 42 44 56 60 72 102 114 212 224 254 266 270 282 284 326	-1241112638262
SPT(16)	2043191799893064599	0 44 74 128 168 188 204 224 234 254 270 290 330 384 414 458	-828761904690
STPT(10)	2043192103555695611	0 2 36 38 78 80 120 122 156 158	-525099273678
SPT(16)	2043193004507372723	0 20 24 54 78 98 104 134 150 180 186 206 230 260 264 284	375852403434
SPT(16)	2043193817806617709	0 10 28 84 88 90 112 202 270 360 382 384 388 444 462 472	1189151648420
SPT(16)	2043193819279046377	0 4 12 16 82 126 184 210 256 282 340 384 450 454 462 466	1190624077088
SPT(16)	2043193915989129191	0 18 98 140 156 198 288 290 366 368 458 500 516 558 638 656	1287334159902
STPT(10)	2043194198146616087	0 2 24 26 42 44 60 62 84 86	1569491646798