Prime p₀= 976920243538166027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 10 2 124 2 40 2 16 2 (?)
a_n: 0 2 84 86 102 104 114 116 240 242 282 284 300 302
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=76, k=14, 82 16 10 124 40 16

SPT(16)	976919639069315527	0 22 24 94 102 112 214 222 304 312 414 424 432 502 504 526	-604468850500
SPT(16)	976919650077610843	0 64 90 156 160 168 190 196 198 204 226 234 238 304 330 394	-593460555184
SPT(16)	976919735296017089	0 14 42 62 68 92 122 134 168 180 210 234 240 260 288 302	-508242148938
STPT(10)	976919964568265981	0 2 6 8 48 50 90 92 96 98	-278969900046
SPT(16)	976920067659819533	0 6 56 68 104 126 134 150 164 180 188 210 246 258 308 314	-175878346494
SPT(16)	976920154970469089	0 18 20 30 144 158 174 210 248 284 300 314 428 438 440 458	-88567696938
STPT(10)	976920437954867837	0 2 12 14 72 74 132 134 144 146	194416701810
STPT(10)	976920530348272721	0 2 30 32 78 80 126 128 156 158	286810106694
SPT(16)	976921018371080963	0 36 60 68 110 138 164 168 176 180 206 234 276 284 308 344	774832914936
SPT(16)	976921060855265419	0 10 24 40 54 70 112 168 244 300 342 358 372 388 402 412	817317099392
STPT(10)	976921129908213401	0 2 6 8 18 20 30 32 36 38	886370047374