Prime p₀= 2083126924775573981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 88 2 46 2 16 2 22 2 (?)
a_n: 0 2 78 80 120 122 210 212 258 260 276 278 300 302
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: 302
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 76 40 88 46 16 22

SPT(16)	2083124985206682377	0 72 132 140 156 206 212 272 294 354 360 410 426 434 494 566	-1939568891604
STPT(10)	2083125027644287721	0 2 6 8 48 50 90 92 96 98	-1897131286260
SPT(16)	2083126462322272649	0 2 20 62 74 98 102 128 144 170 174 198 210 252 270 272	-462453301332
SPT(16)	2083126497998254073	0 24 30 60 68 134 176 198 206 228 270 336 344 374 380 404	-426777319908
STPT(10)	2083126729846300277	0 2 60 62 72 74 84 86 144 146	-194929273704
STPT(10)	2083126876746536447	0 2 114 116 162 164 210 212 324 326	-48029037534
SPT(16)	2083127803570808117	0 2 26 102 104 114 140 146 180 186 212 222 224 300 324 326	878795234136
SPT(16)	2083127895721051427	0 6 36 72 110 152 162 176 216 230 240 282 320 356 386 392	970945477446
SPT(16)	2083128018226969069	0 12 30 52 82 90 118 142 168 192 220 228 258 280 298 310	1093451395088
SPT(16)	2083128161151146687	0 2 30 74 90 116 140 156 200 216 240 266 282 326 354 356	1236375572706
SPT(16)	2083128743921659571	0 36 56 62 92 98 132 140 168 176 210 216 246 252 272 308	1819146085590