Prime p₀= 2981342309300858429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 130 2 76 2 40 2 4 2 (?)
a_n: 0 2 42 44 90 92 222 224 300 302 342 344 348 350
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: 350
Found by: Orange Kid
db: batch=82, k=14, 40 46 130 76 40 4

SPT(16)	2981340840954087151	0 28 40 42 78 100 112 166 222 276 288 310 346 348 360 388	-1468346771278
SPT(16)	2981341013508700019	0 8 20 42 60 78 90 150 182 242 254 272 290 312 324 332	-1295792158410
SPT(16)	2981341290318490817	0 2 14 84 90 146 156 222 254 320 330 386 392 462 474 476	-1018982367612
SPT(18)	2981341705666734601	0 42 76 88 118 132 136 148 178 210 240 252 256 270 300 312 346 388	-603634123828
STPT(10)	2981341917289379087	0 2 90 92 132 134 174 176 264 266	-392011479342
SPT(16)	2981342215930153561	0 48 90 118 126 178 192 232 246 286 300 352 360 388 430 478	-93370704868
SPT(16)	2981342480139097553	0 14 26 48 84 90 120 140 204 224 254 260 296 318 330 344	170838239124
STPT(10)	2981342672534099969	0 2 18 20 30 32 42 44 60 62	363233241540
STPT(10)	2981342954152493267	0 2 30 32 42 44 54 56 84 86	644851634838
SPT(16)	2981343082071465953	0 30 80 84 86 144 158 164 210 216 230 288 290 294 344 374	772770607524
SPT(16)	2981343140175903143	0 18 50 78 86 116 120 128 168 176 180 210 218 246 278 296	830875044714