Prime p₀= 1303425701263748807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 58 2 10 2 100 2 (?)
a_n: 0 2 24 26 54 56 120 122 180 182 192 194 294 296
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: 296
Found by: HenkM
db: batch=77, k=14, 22 28 64 58 10 100

SPT(20)	1303424886414739111	0 6 22 28 58 72 90 108 132 178 210 256 280 298 316 330 360 366 382 388	-814849009696
SPT(16)	1303424939383986739	0 12 78 84 154 180 214 238 264 288 322 348 418 424 490 502	-761879762068
STPT(10)	1303424978374015661	0 2 66 68 108 110 150 152 216 218	-722889733146
TPT(14)	1303425159840713759	0 2 48 50 78 80 90 92 108 110 132 134 150 152	-541423035048
SPT(16)	1303425196789298663	0 38 54 68 108 110 188 234 254 300 378 380 420 434 450 488	-504474450144
SPT(16)	1303425324470136521	0 68 78 86 150 162 240 318 320 398 476 488 552 560 570 638	-376793612286
STPT(10)	1303425885346262297	0 2 42 44 72 74 102 104 144 146	184082513490
TPT(14)	1303426373311221281	0 2 210 212 288 290 306 308 330 332 336 338 348 350	672047472474
SPT(16)	1303426421794448947	0 84 132 184 190 216 220 256 300 336 340 366 372 424 472 556	720530700140
SPT(16)	1303426687684278023	0 44 74 84 98 116 140 146 168 174 198 216 230 240 270 314	986420529216
SPT(16)	1303426718791080029	0 54 60 104 108 164 188 200 342 354 378 434 438 482 488 542	1017527331222