Prime p₀= 944064077996865101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 10 2 28 2 40 2 16 2 (?)
a_n: 0 2 6 8 66 68 78 80 108 110 150 152 168 170
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: 170
Found by: stoneageman
db: batch=76, k=14, 4 58 10 28 40 16

SPT(16)	944063194182571621	0 22 30 72 96 142 162 208 240 286 306 352 376 418 426 448	-883814293480
TPT(14)	944063340278000351	0 2 36 38 48 50 66 68 78 80 90 92 138 140	-737718864750
SPT(16)	944063417467834579	0 12 24 34 42 82 142 172 180 210 270 310 318 328 340 352	-660529030522
STPT(10)	944063455760206097	0 2 30 32 42 44 54 56 84 86	-622236659004
TPT(14)	944063566861287317	0 2 84 86 174 176 210 212 354 356 390 392 432 434	-511135577784
SPT(16)	944063992967690339	0 68 84 120 138 164 182 224 288 330 348 374 392 428 444 512	-85029174762
SPT(16)	944064397870558319	0 14 60 68 78 110 120 144 158 182 192 224 234 242 288 302	319873693218
STPT(10)	944064399929624579	0 2 12 14 90 92 168 170 180 182	321932759478
SPT(16)	944064529162317911	0 18 38 56 96 98 126 140 186 200 228 230 270 288 308 326	451165452810
SPT(16)	944064636577725029	0 50 68 72 80 104 120 134 168 182 198 222 230 234 252 302	558580859928
SPT(16)	944064766156864777	0 12 34 46 52 60 94 124 132 162 196 204 210 222 244 256	688159999676