Prime p₀= 2350051179704700149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 40 2 94 2 22 2 58 2 (?)
a_n: 0 2 18 20 30 32 72 74 168 170 192 194 252 254
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: 254
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=14, 16 10 40 94 22 58

TPT(14)	2350048734025861091	0 2 60 62 156 158 186 188 276 278 306 308 480 482	-2445678839058
SPT(18)	2350048934050511909	0 24 50 68 108 120 122 168 210 272 314 360 362 374 414 432 458 482	-2245654188240
SPT(16)	2350049638334202247	0 16 24 42 70 72 126 136 150 160 214 216 244 262 270 286	-1541370497902
SPT(16)	2350050113871831491	0 72 96 128 150 206 240 338 390 488 522 578 600 632 656 728	-1065832868658
SPT(16)	2350050256944979297	0 22 30 36 76 150 174 216 220 262 286 360 400 406 414 436	-922759720852
SPT(16)	2350051039333092551	0 30 42 80 86 110 122 140 222 240 252 276 282 320 332 362	-140371607598
SPT(16)	2350051798533621547	0 10 30 40 94 96 100 126 304 330 334 336 390 400 420 430	618828921398
SPT(16)	2350052106317957281	0 10 36 66 76 106 132 148 240 256 282 312 322 352 378 388	926613257132
SPT(16)	2350052234350883327	0 14 24 80 90 104 140 192 254 306 342 356 366 422 432 446	1054646183178
SPT(16)	2350052369669388361	0 28 52 102 112 120 132 148 300 316 328 336 346 396 420 448	1189964688212
SPT(16)	2350052456399338367	0 36 62 96 140 176 210 266 306 362 396 432 476 510 536 572	1276694638218