Prime p₀= 2129285034388232549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 4 2 22 2 196 2 10 2 (?)
a_n: 0 2 90 92 132 134 138 140 162 164 360 362 372 374
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: 374
Found by: CoolAtchOk
db: batch=80, k=14, 88 40 4 22 196 10

SPT(16)	2129284356625983989	0 24 38 78 104 134 168 174 194 200 234 264 290 330 344 368	-677762248560
SPT(16)	2129284694107853657	0 6 56 90 96 102 116 152 204 240 254 260 266 300 350 356	-340280378892
STPT(10)	2129284834989274997	0 2 60 62 72 74 84 86 144 146	-199398957552
SPT(16)	2129284873008458909	0 8 14 18 44 90 134 144 284 294 338 384 410 414 420 428	-161379773640
SPT(16)	2129284881730504019	0 12 14 18 32 42 74 84 158 168 200 210 224 228 230 242	-152657728530
SPT(16)	2129284884120867071	0 36 42 60 86 126 140 152 186 198 212 252 278 296 302 338	-150267365478
SPT(16)	2129285207236941961	0 12 28 58 60 72 76 130 408 462 466 478 480 510 526 538	172848709412
STPT(10)	2129285967406575449	0 2 42 44 90 92 138 140 180 182	933018342900
STPT(10)	2129285967691957577	0 2 24 26 42 44 60 62 84 86	933303725028
SPT(16)	2129286401539337279	0 2 42 68 72 74 134 140 282 288 348 350 354 380 420 422	1367151104730
STPT(10)	2129286923134634687	0 2 30 32 72 74 114 116 144 146	1888746402138