Prime p₀= 1304292746831121767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 196 2 28 2 40 2 (?)
a_n: 0 2 24 26 42 44 54 56 252 254 282 284 324 326
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: 326
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 22 16 10 196 28 40

STPT(10)	1304290923340897109	0 2 48 50 60 62 72 74 120 122	-1823490224658
SPT(16)	1304291241384431393	0 14 44 78 120 164 210 230 234 254 300 344 386 420 450 464	-1505446690374
STPT(10)	1304291635061974379	0 2 18 20 30 32 42 44 60 62	-1111769147388
STPT(10)	1304291770481518451	0 2 6 8 48 50 90 92 96 98	-976349603316
SPT(16)	1304292152792265719	0 38 78 80 120 140 194 210 242 258 312 332 372 374 414 452	-594038856048
STPT(10)	1304292377283947729	0 2 18 20 30 32 42 44 60 62	-369547174038
STPT(10)	1304293035216183809	0 2 18 20 30 32 42 44 60 62	288385062042
STPT(10)	1304293381623528377	0 2 54 56 72 74 90 92 144 146	634792406610
SPT(16)	1304293517742233719	0 70 72 82 100 154 178 204 268 294 318 372 390 400 402 472	770911111952
SPT(16)	1304293765305466037	0 14 44 56 110 180 204 254 306 356 380 450 504 516 546 560	1018474344270
SPT(16)	1304294319102924131	0 8 38 42 48 50 66 72 146 152 168 170 176 180 210 218	1572271802364