Prime p₀= 2115117675217945997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 58 2 106 2 88 2 10 2 (?)
a_n: 0 2 60 62 84 86 144 146 252 254 342 344 354 356
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: 356
Found by: Landjunge
db: batch=80, k=14, 58 22 58 106 88 10

SPT(16)	2115116388031383641	0 48 62 78 116 128 158 186 242 270 300 312 350 366 380 428	-1287186562356
STPT(10)	2115116465048202401	0 2 36 38 78 80 120 122 156 158	-1210169743596
STPT(10)	2115116867740797797	0 2 30 32 60 62 90 92 120 122	-807477148200
SPT(16)	2115117020120836297	0 34 42 52 112 124 156 166 210 220 252 264 324 334 342 376	-655097109700
SPT(16)	2115117399286456847	0 2 24 120 150 176 182 206 210 234 240 266 296 392 414 416	-275931489150
SPT(16)	2115117551168283169	0 22 34 70 72 114 118 160 162 204 208 250 252 288 300 322	-124049662828
SPT(16)	2115117875270353847	0 12 36 62 66 90 110 134 192 216 236 260 264 290 314 326	200052407850
TPT(16)	2115118282786535951	0 2 78 80 138 140 156 158 198 200 210 212 348 350 378 380	607568589954
SPT(16)	2115118356436193533	0 34 84 90 120 130 144 150 298 304 318 328 358 364 414 448	681218247536
SPT(16)	2115118514063006429	0 84 90 102 110 132 158 162 200 204 230 252 260 272 278 362	838845060432
STPT(10)	2115118655138078279	0 2 18 20 30 32 42 44 60 62	979920132282