Prime p₀= 2142340442398238657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 34 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 84 86 120 122 180 182 240 242 282 284
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: 284
Found by: liuyun97
db: batch=80, k=14, 40 40 34 58 58 40

SPT(16)	2142339744472001821	0 36 82 96 130 132 136 190 318 372 376 378 412 426 472 508	-697926236836
STPT(10)	2142339821493414041	0 2 36 38 78 80 120 122 156 158	-620904824616
SPT(16)	2142340095524912401	0 18 30 40 42 70 72 108 160 196 198 226 228 238 250 268	-346873326256
SPT(16)	2142340213595967703	0 66 70 90 96 114 126 136 138 148 160 178 184 204 208 274	-228802270954
SPT(13)	2142340261972387669	0 24 30 48 90 114 174 234 258 300 318 324 348	-180425850988
STPT(10)	2142340319847477689	0 2 18 20 60 62 102 104 120 122	-122550760968
STPT(10)	2142340623127441937	0 2 54 56 72 74 90 92 144 146	180729203280
SPT(16)	2142340794894786041	0 30 90 96 150 156 182 216 296 330 356 362 416 422 482 512	352496547384
TPT(14)	2142340857229993829	0 2 48 50 132 134 162 164 222 224 300 302 468 470	414831755172
SPT(16)	2142340858822424677	0 22 46 120 126 130 132 190 252 310 312 316 322 396 420 442	416424186020
STPT(10)	2142341959019016497	0 2 12 14 42 44 72 74 84 86	1516620777840