Prime p₀= 2448097186805659199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 142 2 58 2 76 2 100 2 64 2 (?)
a_n: 0 2 108 110 252 254 312 314 390 392 492 494 558 560
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: 560
Found by: JayPi
db: batch=82, k=14, 106 142 58 76 100 64

SPT(16)	2448094645373274593	0 20 90 120 138 168 210 258 260 308 350 380 398 428 498 518	-2541432384606
SPT(16)	2448094727409450101	0 6 20 42 72 86 140 146 162 168 222 236 266 288 302 308	-2459396209098
SPT(16)	2448095307399203263	0 46 58 70 76 124 138 156 268 286 300 348 354 366 378 424	-1879406455936
SPT(16)	2448095815142045749	0 18 28 64 88 114 118 184 204 270 274 300 324 360 370 388	-1371663613450
SPT(16)	2448096740305657729	0 22 40 52 84 124 142 150 184 192 210 250 282 294 312 334	-446500001470
STPT(10)	2448096863953702691	0 2 36 38 78 80 120 122 156 158	-322851956508
SPT(16)	2448097495858238377	0 30 40 82 102 114 124 126 130 132 142 154 174 216 226 256	309052579178
STPT(10)	2448097506737018579	0 2 42 44 60 62 78 80 120 122	319931359380
TPT(14)	2448097884699197327	0 2 42 44 114 116 120 122 174 176 282 284 330 332	697893538128
TPT(14)	2448098105764405121	0 2 60 62 126 128 150 152 186 188 360 362 396 398	918958745922
SPT(16)	2448098223391873909	0 24 42 58 148 154 174 192 250 268 288 294 384 400 418 442	1036586214710