Prime p₀= 1958748421249506431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 178 2 58 2 34 2 40 2 10 2 (?)
a_n: 0 2 30 32 210 212 270 272 306 308 348 350 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 28 178 58 34 40 10

SPT(16)	1958746782503536283	0 44 56 68 110 140 174 230 384 440 474 504 546 558 570 614	-1638745970148
SPT(16)	1958746932988610159	0 30 38 44 54 68 80 140 162 222 234 248 258 264 272 302	-1488260896272
SPT(16)	1958747975825353613	0 38 50 90 104 108 110 134 150 174 176 180 194 234 246 284	-445424152818
STPT(12)	1958747997195596567	0 2 42 44 72 74 102 104 132 134 174 176	-424053909864
SPT(16)	1958748182670585919	0 40 88 100 148 162 174 198 214 238 250 264 312 324 372 412	-238578920512
SPT(16)	1958748225248789861	0 6 8 108 120 132 152 182 186 216 236 248 260 360 362 368	-196000716570
SPT(16)	1958749473152367433	0 40 46 90 168 178 180 270 286 376 378 388 466 510 516 556	1051902861002
STPT(12)	1958749544104071281	0 2 66 68 96 98 180 182 210 212 276 278	1122854564850
STPT(10)	1958749716949410941	0 2 78 80 108 110 138 140 216 218	1295699904510
SPT(16)	1958749856610421309	0 24 52 78 100 198 204 210 262 268 274 372 394 420 448 472	1435360914878
SPT(16)	1958749973917241741	0 26 38 48 66 78 80 92 96 108 110 122 140 150 162 188	1552667735310