Prime p₀= 1916669149429347281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 142 2 28 2 64 2 10 2 40 2 (?)
a_n: 0 2 36 38 180 182 210 212 276 278 288 290 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 34 142 28 64 10 40

TPT(14)	1916667255729335141	0 2 48 50 60 62 90 92 216 218 336 338 390 392	-1893700012140
SPT(16)	1916667322800588679	0 10 28 72 94 112 138 144 178 184 210 228 250 294 312 322	-1826628758602
SPT(16)	1916667499767104521	0 16 82 90 120 142 150 178 180 208 216 238 268 276 342 358	-1649662242760
SPT(16)	1916667525745413449	0 30 50 120 134 144 164 170 282 288 308 318 332 402 422 452	-1623683933832
STPT(10)	1916668782774472709	0 2 12 14 90 92 168 170 180 182	-366654874572
SPT(16)	1916668951033368577	0 12 34 40 216 222 226 240 346 360 364 370 546 552 574 586	-198395978704
STPT(10)	1916669582265600467	0 2 30 32 42 44 54 56 84 86	432836253186
TPT(14)	1916669652751962989	0 2 12 14 72 74 138 140 150 152 180 182 192 194	503322615708
STPT(10)	1916669957898737651	0 2 30 32 78 80 126 128 156 158	808469390370
STPT(10)	1916670281211792011	0 2 6 8 48 50 90 92 96 98	1131782444730
SPT(20)	1916670799124103277	0 6 84 90 94 112 136 162 180 220 276 316 334 360 384 402 406 412 490 496	1649694755996