Prime p₀= 2384905234626052637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 28 2 76 2 88 2 10 2 (?)
a_n: 0 2 72 74 102 104 132 134 210 212 300 302 312 314
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: 314
Found by: Landjunge
db: batch=81, k=14, 70 28 28 76 88 10

SPT(16)	2384904182470835191	0 28 36 46 78 90 108 112 126 130 148 160 192 202 210 238	-1052155217446
SPT(16)	2384904255295648733	0 14 26 48 54 66 140 150 194 204 278 290 296 318 330 344	-979330403904
SPT(16)	2384904452422518661	0 42 82 120 138 150 162 178 180 196 208 220 238 276 316 358	-782203533976
STPT(10)	2384904616553685011	0 2 30 32 60 62 90 92 120 122	-618072367626
SPT(16)	2384904784400845409	0 2 20 30 68 132 192 198 332 338 398 462 500 510 528 530	-450225207228
SPT(16)	2384904849894834859	0 30 54 60 70 100 118 172 210 264 282 312 322 328 352 382	-384731217778
SPT(16)	2384905246426591489	0 12 34 60 124 132 138 174 178 214 220 228 292 318 340 352	11800538852
SPT(16)	2384905251324711581	0 12 36 42 50 120 140 152 156 168 188 258 266 272 296 308	16698658944
TPT(14)	2384905290344645819	0 2 48 50 132 134 252 254 282 284 330 332 372 374	55718593182
TPT(14)	2384905356590716871	0 2 6 8 30 32 60 62 168 170 198 200 216 218	121964664234
STPT(10)	2384905555002776051	0 2 36 38 78 80 120 122 156 158	320376723414