Prime p₀= 2295243515915488511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 28 2 82 2 16 2 10 2 (?)
a_n: 0 2 48 50 126 128 156 158 240 242 258 260 270 272
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: [SG-2W]Kurzer
db: batch=81, k=14, 46 76 28 82 16 10

STPT(10)	2295242165440053227	0 2 30 32 72 74 114 116 144 146	-1350475435284
STPT(10)	2295242627032455167	0 2 12 14 42 44 72 74 84 86	-888883033344
SPT(16)	2295242685265549381	0 46 88 118 180 186 196 228 238 270 280 286 348 378 420 466	-830649939130
SPT(16)	2295242941253723057	0 20 32 62 102 146 186 192 224 230 270 314 354 384 396 416	-574661765454
SPT(16)	2295243084091064749	0 10 42 70 82 102 108 118 144 154 160 180 192 220 252 262	-431824423762
SPT(16)	2295243414390513313	0 4 18 88 126 130 138 166 228 256 264 268 306 376 390 394	-101524975198
SPT(16)	2295243932899580363	0 38 78 96 140 150 176 210 236 270 296 306 350 368 408 446	416984091852
SPT(16)	2295243945705310273	0 34 66 70 90 108 136 214 240 318 346 364 384 388 420 454	429789821762
SPT(16)	2295244875767039671	0 10 18 40 46 82 112 126 142 156 186 222 228 250 258 268	1359851551160
SPT(16)	2295245243378531783	0 6 26 44 56 84 96 120 140 164 176 204 216 234 254 260	1727463043272
TPT(14)	2295245320802586989	0 2 12 14 42 44 48 50 90 92 102 104 168 170	1804887098478