Prime p₀= 2390271891427649687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 22 2 76 2 88 2 88 2 (?)
a_n: 0 2 84 86 150 152 174 176 252 254 342 344 432 434
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: 434
Found by: Landjunge
db: batch=81, k=14, 82 64 22 76 88 88

TPT(14)	2390269862205984389	0 2 72 74 138 140 198 200 210 212 222 224 252 254	-2029221665298
STPT(10)	2390270074793446127	0 2 60 62 102 104 144 146 204 206	-1816634203560
SPT(16)	2390271070675397083	0 28 70 108 118 130 136 150 154 168 174 186 196 234 276 304	-820752252604
SPT(16)	2390271209956880399	0 8 14 24 48 50 84 92 120 128 162 164 188 198 204 212	-681470769288
SPT(16)	2390271354201570557	0 2 44 56 84 120 126 182 204 260 266 302 330 342 384 386	-537226079130
SPT(16)	2390271536833011289	0 52 54 72 120 150 204 250 264 310 364 394 442 460 462 514	-354594638398
SPT(16)	2390272052946463799	0 18 42 50 68 84 122 144 158 180 218 234 252 260 284 302	161518814112
SPT(16)	2390272373461917677	0 12 20 54 104 116 120 132 194 206 210 222 272 306 314 326	482034267990
SPT(16)	2390272415742575557	0 4 42 90 112 120 130 142 144 156 166 174 196 244 282 286	524314925870
STPT(10)	2390272736071036517	0 2 30 32 42 44 54 56 84 86	844643386830
SPT(16)	2390272767731819017	0 12 94 112 132 210 280 322 342 384 454 532 552 570 652 664	876304169330