Prime p₀= 1055924120130049151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 40 2 94 2 28 2 10 2 (?)
a_n: 0 2 60 62 78 80 120 122 216 218 246 248 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 58 16 40 94 28 10

SPT(16)	1055922158999844709	0 30 34 82 150 180 202 250 294 342 364 394 462 510 514 544	-1961130204442
SPT(16)	1055922336718335587	0 14 54 62 90 180 222 242 252 272 314 404 432 440 480 494	-1783411713564
SPT(16)	1055922772218112853	0 20 54 80 90 134 140 174 194 228 234 278 288 314 348 368	-1347911936298
STPT(10)	1055922885582883697	0 2 30 32 42 44 54 56 84 86	-1234547165454
SPT(18)	1055923018272344627	0 26 62 72 74 84 96 110 144 182 216 230 242 252 254 264 300 326	-1101857704524
STPT(10)	1055923138701569189	0 2 42 44 60 62 78 80 120 122	-981428479962
STPT(10)	1055924417035513547	0 2 30 32 42 44 54 56 84 86	296905464396
SPT(16)	1055924525874536533	0 34 40 70 76 108 118 124 180 186 196 228 234 264 270 304	405744487382
SPT(16)	1055924670267060697	0 22 34 90 94 166 234 244 252 262 330 402 406 462 474 496	550137011546
SPT(16)	1055924699104295543	0 54 74 90 158 216 230 234 260 264 278 336 404 420 440 494	578974246392
SPT(18)	1055924806079328167	0 26 66 80 92 140 180 182 206 276 300 302 342 390 402 416 456 482	685949279016