Prime p₀= 2396286671415161597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 58 2 94 2 40 2 16 2 (?)
a_n: 0 2 42 44 114 116 174 176 270 272 312 314 330 332
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: 332
Found by: [AF] Kalianthys
db: batch=81, k=14, 40 70 58 94 40 16

STPT(10)	2396284958268103961	0 2 36 38 78 80 120 122 156 158	-1713147057636
STPT(12)	2396285395533942959	0 2 48 50 90 92 138 140 180 182 228 230	-1275881218638
STPT(10)	2396285578410479879	0 2 12 14 90 92 168 170 180 182	-1093004681718
SPT(16)	2396286240733119067	0 4 42 46 82 106 114 120 166 172 180 204 240 244 282 286	-430682042530
SPT(16)	2396286338164900369	0 48 60 88 90 118 144 184 198 238 264 292 294 322 334 382	-333250261228
STPT(10)	2396286511935788411	0 2 30 32 60 62 90 92 120 122	-159479373186
SPT(16)	2396286769827846361	0 48 126 160 162 166 202 208 330 336 372 376 378 412 490 538	98412684764
SPT(16)	2396286956989076659	0 18 30 48 70 78 88 112 120 144 154 162 184 202 214 232	285573915062
STPT(10)	2396287128033300107	0 2 60 62 72 74 84 86 144 146	456618138510
STPT(10)	2396287178313236807	0 2 30 32 42 44 54 56 84 86	506898075210
STPT(10)	2396287211451896687	0 2 12 14 42 44 72 74 84 86	540036735090