Prime p₀= 2315784934019578757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 76 2 70 2 16 2 10 2 94 2 (?)
a_n: 0 2 114 116 192 194 264 266 282 284 294 296 390 392
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: 392
Found by: Landjunge
db: batch=81, k=14, 112 76 70 16 10 94

SPT(16)	2315783812593318607	0 12 16 30 64 100 112 126 220 234 246 282 316 330 334 346	-1121426260150
SPT(16)	2315784091341138247	0 30 40 60 90 100 162 196 216 250 312 322 352 372 382 412	-842678440510
SPT(16)	2315784302722907729	0 18 30 32 44 72 74 104 108 138 140 168 180 182 194 212	-631296671028
STPT(10)	2315784352429064507	0 2 12 14 42 44 72 74 84 86	-581590514250
STPT(10)	2315784612240005441	0 2 66 68 108 110 150 152 216 218	-321779573316
SPT(16)	2315784737768100737	0 6 36 56 62 84 90 132 134 176 182 204 210 230 260 266	-196251478020
SPT(16)	2315784968437979977	0 30 42 60 66 70 72 94 162 184 186 190 196 214 226 256	34418401220
SPT(16)	2315785135123987003	0 16 88 114 148 190 196 210 214 228 234 276 310 336 408 424	201104408246
SPT(18)	2315785298974088237	0 30 60 62 80 132 162 170 174 200 204 212 242 294 312 314 344 374	364954509480
STPT(10)	2315785381558983749	0 2 18 20 30 32 42 44 60 62	447539404992
SPT(16)	2315785519656602837	0 12 72 86 182 186 204 240 266 302 320 324 420 434 494 506	585637024080