Prime p₀= 2552415842076843467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 10 2 10 2 16 2 40 2 (?)
a_n: 0 2 84 86 90 92 102 104 114 116 132 134 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 4 10 10 16 40

SPT(18)	2552414967892962881	0 38 62 80 92 102 108 158 228 290 360 410 416 426 438 456 480 518	-874183880586
SPT(16)	2552415042140768687	0 24 26 32 54 72 80 114 122 156 164 182 204 210 212 236	-799936074780
SPT(16)	2552415331645005943	0 48 58 114 138 156 166 174 190 198 208 226 250 306 316 364	-510431837524
SPT(16)	2552415733682711629	0 54 78 144 154 162 168 172 210 214 220 228 238 304 328 382	-108394131838
SPT(16)	2552415738488539669	0 4 22 72 88 120 148 172 180 204 232 264 280 330 348 352	-103588303798
SPT(16)	2552415789180899143	0 40 60 76 94 108 138 216 298 376 406 420 438 454 474 514	-52895944324
STPT(10)	2552416016282067491	0 2 78 80 108 110 138 140 216 218	174205224024
SPT(16)	2552416384216174109	0 2 18 44 50 78 84 98 174 188 194 222 228 254 270 272	542139330642
SPT(16)	2552416617905987461	0 12 52 82 150 172 178 202 228 252 258 280 348 378 418 430	775829143994
SPT(16)	2552416710586538737	0 30 60 96 102 112 130 142 210 222 240 250 256 292 322 352	868509695270
STPT(12)	2552416711023974477	0 2 12 14 42 44 60 62 90 92 102 104	868947131010