Prime p₀= 2397186880886623829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 42 44 78 80 90 92 120 122 132 134 150 152
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: 152
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 40 34 10 28 10 16

SPT(16)	2397185141293768327	0 6 36 42 60 84 106 124 132 150 172 196 214 220 250 256	-1739592855502
SPT(16)	2397185793881858641	0 28 30 58 76 78 82 100 138 156 160 162 180 208 210 238	-1087004765188
STPT(10)	2397185960210546777	0 2 24 26 42 44 60 62 84 86	-920676077052
SPT(16)	2397186744381550399	0 4 18 64 78 108 120 154 168 202 214 244 258 304 318 322	-136505073430
SPT(16)	2397186754779054149	0 2 38 44 48 72 80 104 168 192 200 224 228 234 270 272	-126107569680
SPT(16)	2397186772338753463	0 34 48 60 90 94 124 126 388 390 420 424 454 466 480 514	-108547870366
SPT(16)	2397187041796605287	0 12 26 42 74 84 110 116 120 126 152 162 194 210 224 236	160909981458
TPT(14)	2397187305737543729	0 2 48 50 90 92 102 104 168 170 210 212 312 314	424850919900
SPT(16)	2397187350175711043	0 14 18 38 44 66 110 140 294 324 368 390 396 416 420 434	469289087214
SPT(16)	2397187487219378059	0 12 22 34 70 94 120 160 252 292 318 342 378 390 400 412	606332754230
TPT(14)	2397187564373712569	0 2 30 32 60 62 90 92 138 140 198 200 222 224	683487088740