Prime p₀= 2023842921218792279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 34 2 10 2 58 2 28 2 (?)
a_n: 0 2 60 62 132 134 168 170 180 182 240 242 270 272
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: 272
Found by: conf [MM]
db: batch=80, k=14, 58 70 34 10 58 28

SPT(16)	2023841762130996149	0 2 14 24 80 144 194 200 222 228 278 342 398 408 420 422	-1159087796130
STPT(10)	2023841860323662567	0 2 24 26 42 44 60 62 84 86	-1060895129712
SPT(16)	2023842353741200711	0 10 42 82 90 108 132 160 180 208 232 250 258 298 330 340	-567477591568
STPT(10)	2023842494630330189	0 2 12 14 30 32 48 50 60 62	-426588462090
SPT(16)	2023842610338426217	0 46 60 64 70 82 124 130 156 162 204 216 222 226 240 286	-310880366062
SPT(16)	2023842657436124431	0 78 82 168 202 246 252 298 330 376 382 426 460 546 550 628	-263782667848
STPT(10)	2023843026357520187	0 2 30 32 42 44 54 56 84 86	105138727908
SPT(16)	2023843084253338627	0 12 34 60 70 82 90 96 160 166 174 186 196 222 244 256	163034546348
SPT(16)	2023843212649023329	0 2 62 72 90 120 182 218 264 300 362 392 410 420 480 482	291430231050
STPT(10)	2023843244510899697	0 2 30 32 42 44 54 56 84 86	323292107418
TPT(14)	2023843285726283207	0 2 42 44 240 242 270 272 300 302 312 314 354 356	364507490928