Prime p₀= 2397265754109924821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 16 2 10 2 28 2 10 2 (?)
a_n: 0 2 126 128 138 140 156 158 168 170 198 200 210 212
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: 212
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 124 10 16 10 28 10

SPT(18)	2397264246083579231	0 20 30 56 62 66 72 108 116 132 140 176 182 186 192 218 228 248	-1508026345590
SPT(16)	2397264435549079367	0 32 50 74 84 146 152 186 260 294 300 362 372 396 414 446	-1318560845454
SPT(16)	2397264559455969743	0 14 60 116 198 206 228 294 320 386 408 416 498 554 600 614	-1194653955078
STPT(10)	2397264744341651477	0 2 42 44 72 74 102 104 144 146	-1009768273344
SPT(16)	2397265315666892117	0 42 62 80 90 132 140 152 264 276 284 326 336 354 374 416	-438443032704
SPT(16)	2397265435553167133	0 30 80 86 108 110 174 180 224 230 294 296 318 324 374 404	-318556757688
TPT(14)	2397266208973510967	0 2 162 164 204 206 240 242 294 296 420 422 432 434	454863586146
SPT(16)	2397266324566998161	0 32 60 62 78 138 162 170 270 278 302 362 378 380 408 440	570457073340
SPT(16)	2397266367096817231	0 10 30 46 58 70 130 136 162 168 228 240 252 268 288 298	612986892410
SPT(16)	2397266970076278673	0 10 46 64 84 88 106 130 174 198 216 220 240 258 294 304	1215966353852
SPT(16)	2397267045988568669	0 14 38 44 60 80 84 90 122 128 132 152 168 174 198 212	1291878643848